Elliptic curve search results

Results (1-50 of 52 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
338.c2	338a1	338.c	338a	$2$	$7$	\( 2 \cdot 13^{2} \)	\( - 2^{2} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$364$	$768$	$21$	$0.169814351$	$1$		$6$	$12$	$-0.776028$	$351/4$	$1.27279$	$2.39029$	$[1, -1, 0, 1, 1]$	\(y^2+xy=x^3-x^2+x+1\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 52.16.0-4.b.1.1, 91.48.0.?, $\ldots$	$[(0, 1)]$
338.e2	338b1	338.e	338b	$2$	$7$	\( 2 \cdot 13^{2} \)	\( - 2^{2} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.16.0.2, 7.16.0.1	7B.2.1	$364$	$768$	$21$	$1$	$1$		$0$	$156$	$0.506447$	$351/4$	$1.27279$	$5.03319$	$[1, -1, 1, 137, 2643]$	\(y^2+xy+y=x^3-x^2+137x+2643\)	4.16.0-4.b.1.1, 7.16.0-7.a.1.2, 28.256.5-28.b.2.2, 91.48.0.?, 364.768.21.?	$[]$
2704.h2	2704e1	2704.h	2704e	$2$	$7$	\( 2^{4} \cdot 13^{2} \)	\( - 2^{14} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.16.0.2, 7.8.0.1	7B	$364$	$768$	$21$	$1$	$1$		$0$	$3744$	$1.199594$	$351/4$	$1.27279$	$4.76132$	$[0, 0, 0, 2197, -171366]$	\(y^2=x^3+2197x-171366\)	4.16.0-4.b.1.1, 7.8.0.a.1, 14.16.0-7.a.1.2, 28.256.5-28.b.2.3, 91.24.0.?, $\ldots$	$[]$
2704.i2	2704d1	2704.i	2704d	$2$	$7$	\( 2^{4} \cdot 13^{2} \)	\( - 2^{14} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$364$	$768$	$21$	$1$	$1$		$0$	$288$	$-0.082881$	$351/4$	$1.27279$	$2.81387$	$[0, 0, 0, 13, -78]$	\(y^2=x^3+13x-78\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 52.16.0-4.b.1.1, 91.24.0.?, $\ldots$	$[]$
3042.e2	3042b1	3042.e	3042b	$2$	$7$	\( 2 \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1092$	$768$	$21$	$1$	$1$		$0$	$4992$	$1.055754$	$351/4$	$1.27279$	$4.47618$	$[1, -1, 0, 1236, -72604]$	\(y^2+xy=x^3-x^2+1236x-72604\)	4.8.0.b.1, 7.8.0.a.1, 12.16.0-4.b.1.1, 21.16.0-7.a.1.2, 28.128.5.b.2, $\ldots$	$[]$
3042.k2	3042l1	3042.k	3042l	$2$	$7$	\( 2 \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1092$	$768$	$21$	$0.752989816$	$1$		$2$	$384$	$-0.226722$	$351/4$	$1.27279$	$2.55733$	$[1, -1, 1, 7, -35]$	\(y^2+xy+y=x^3-x^2+7x-35\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 156.16.0.?, $\ldots$	$[(7, 14)]$
8450.f2	8450b1	8450.f	8450b	$2$	$7$	\( 2 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 5^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1820$	$768$	$21$	$0.922463327$	$1$		$2$	$21840$	$1.311165$	$351/4$	$1.27279$	$4.30938$	$[1, -1, 0, 3433, 333841]$	\(y^2+xy=x^3-x^2+3433x+333841\)	4.8.0.b.1, 7.8.0.a.1, 20.16.0-4.b.1.1, 28.128.5.b.2, 35.16.0-7.a.1.1, $\ldots$	$[(-42, 359)]$
8450.s2	8450o1	8450.s	8450o	$2$	$7$	\( 2 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 5^{6} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1820$	$768$	$21$	$1$	$1$		$0$	$1680$	$0.028691$	$351/4$	$1.27279$	$2.60735$	$[1, -1, 1, 20, 147]$	\(y^2+xy+y=x^3-x^2+20x+147\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 260.16.0.?, $\ldots$	$[]$
10816.s2	10816b1	10816.s	10816b	$2$	$7$	\( 2^{6} \cdot 13^{2} \)	\( - 2^{20} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$728$	$768$	$21$	$0.648102797$	$1$		$4$	$2304$	$0.263693$	$351/4$	$1.27279$	$2.84165$	$[0, 0, 0, 52, 624]$	\(y^2=x^3+52x+624\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 104.16.0.?, $\ldots$	$[(14, 64)]$
10816.t2	10816z1	10816.t	10816z	$2$	$7$	\( 2^{6} \cdot 13^{2} \)	\( - 2^{20} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$728$	$768$	$21$	$1$	$1$		$0$	$2304$	$0.263693$	$351/4$	$1.27279$	$2.84165$	$[0, 0, 0, 52, -624]$	\(y^2=x^3+52x-624\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 104.16.0.?, $\ldots$	$[]$
10816.u2	10816y1	10816.u	10816y	$2$	$7$	\( 2^{6} \cdot 13^{2} \)	\( - 2^{20} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.16.0.3, 7.8.0.1	7B	$728$	$768$	$21$	$1$	$1$		$0$	$29952$	$1.546167$	$351/4$	$1.27279$	$4.49845$	$[0, 0, 0, 8788, -1370928]$	\(y^2=x^3+8788x-1370928\)	4.8.0.b.1, 7.8.0.a.1, 8.16.0-4.b.1.1, 28.128.5.b.2, 56.256.5-28.b.2.3, $\ldots$	$[]$
10816.v2	10816a1	10816.v	10816a	$2$	$7$	\( 2^{6} \cdot 13^{2} \)	\( - 2^{20} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	8.16.0.3, 7.8.0.1	7B	$728$	$768$	$21$	$1.148826132$	$1$		$2$	$29952$	$1.546167$	$351/4$	$1.27279$	$4.49845$	$[0, 0, 0, 8788, 1370928]$	\(y^2=x^3+8788x+1370928\)	4.8.0.b.1, 7.8.0.a.1, 8.16.0-4.b.1.1, 28.128.5.b.2, 56.256.5-28.b.2.2, $\ldots$	$[(1014, 32448)]$
16562.l2	16562d1	16562.l	16562d	$2$	$7$	\( 2 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 7^{6} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$364$	$768$	$21$	$1.285272102$	$1$		$12$	$3456$	$0.196927$	$351/4$	$1.27279$	$2.63455$	$[1, -1, 0, 40, -428]$	\(y^2+xy=x^3-x^2+40x-428\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.48.0.?, 364.768.21.?	$[(9, 20), (58, 412)]$
16562.bm2	16562be1	16562.bm	16562be	$2$	$7$	\( 2 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 7^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.16.0.2	7B.2.3	$364$	$768$	$21$	$2.502664708$	$1$		$0$	$44928$	$1.479403$	$351/4$	$1.27279$	$4.21868$	$[1, -1, 1, 6728, -920097]$	\(y^2+xy+y=x^3-x^2+6728x-920097\)	4.8.0.b.1, 7.16.0-7.a.1.1, 28.256.5-28.b.2.1, 91.48.0.?, 364.768.21.?	$[(2367/2, 113563/2)]$
24336.y2	24336bo1	24336.y	24336bo	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1092$	$768$	$21$	$1.210792042$	$1$		$4$	$9216$	$0.466425$	$351/4$	$1.27279$	$2.85436$	$[0, 0, 0, 117, 2106]$	\(y^2=x^3+117x+2106\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 156.16.0.?, $\ldots$	$[(-9, 18)]$
24336.bk2	24336bk1	24336.bk	24336bk	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{14} \cdot 3^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1092$	$768$	$21$	$4.116626075$	$1$		$2$	$119808$	$1.748899$	$351/4$	$1.27279$	$4.37814$	$[0, 0, 0, 19773, 4626882]$	\(y^2=x^3+19773x+4626882\)	4.8.0.b.1, 7.8.0.a.1, 12.16.0-4.b.1.1, 28.128.5.b.2, 42.16.0-7.a.1.2, $\ldots$	$[(207, 4194)]$
40898.n2	40898f1	40898.n	40898f	$2$	$7$	\( 2 \cdot 11^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 11^{6} \cdot 13^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$4004$	$768$	$21$	$2.173052936$	$1$		$8$	$199680$	$1.705395$	$351/4$	$1.27279$	$4.11494$	$[1, -1, 0, 16615, -3568031]$	\(y^2+xy=x^3-x^2+16615x-3568031\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 44.16.0-4.b.1.1, 77.16.0.?, $\ldots$	$[(465, 9992), (3000, 162937)]$
40898.bq2	40898bg1	40898.bq	40898bg	$2$	$7$	\( 2 \cdot 11^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 11^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$4004$	$768$	$21$	$3.469623747$	$1$		$0$	$15360$	$0.422920$	$351/4$	$1.27279$	$2.66566$	$[1, -1, 1, 98, -1647]$	\(y^2+xy+y=x^3-x^2+98x-1647\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 364.384.21.?, $\ldots$	$[(213/4, 2325/4)]$
67600.br2	67600bk1	67600.br	67600bk	$2$	$7$	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{14} \cdot 5^{6} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1820$	$768$	$21$	$1$	$1$		$0$	$40320$	$0.721838$	$351/4$	$1.27279$	$2.86774$	$[0, 0, 0, 325, -9750]$	\(y^2=x^3+325x-9750\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 260.16.0.?, $\ldots$	$[]$
67600.bz2	67600bj1	67600.bz	67600bj	$2$	$7$	\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{14} \cdot 5^{6} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1820$	$768$	$21$	$1$	$1$		$0$	$524160$	$2.004314$	$351/4$	$1.27279$	$4.25154$	$[0, 0, 0, 54925, -21420750]$	\(y^2=x^3+54925x-21420750\)	4.8.0.b.1, 7.8.0.a.1, 20.16.0-4.b.1.1, 28.128.5.b.2, 70.16.0-7.a.1.2, $\ldots$	$[]$
76050.cx2	76050bs1	76050.cx	76050bs	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$5460$	$768$	$21$	$1$	$1$		$0$	$53760$	$0.577997$	$351/4$	$1.27279$	$2.68411$	$[1, -1, 0, 183, -4159]$	\(y^2+xy=x^3-x^2+183x-4159\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 364.384.21.?, $\ldots$	$[]$
76050.dl2	76050fc1	76050.dl	76050fc	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$5460$	$768$	$21$	$3.503346943$	$1$		$2$	$698880$	$1.860472$	$351/4$	$1.27279$	$4.05340$	$[1, -1, 1, 30895, -9044603]$	\(y^2+xy+y=x^3-x^2+30895x-9044603\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 60.16.0-4.b.1.1, 91.24.0.?, $\ldots$	$[(4183, 268646)]$
97344.ck2	97344ez1	97344.ck	97344ez	$2$	$7$	\( 2^{6} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{20} \cdot 3^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$2184$	$768$	$21$	$1.064536395$	$1$		$4$	$958464$	$2.095474$	$351/4$	$1.27279$	$4.21180$	$[0, 0, 0, 79092, 37015056]$	\(y^2=x^3+79092x+37015056\)	4.8.0.b.1, 7.8.0.a.1, 24.16.0-4.b.1.1, 28.128.5.b.2, 91.24.0.?, $\ldots$	$[(0, 6084)]$
97344.ct2	97344bn1	97344.ct	97344bn	$2$	$7$	\( 2^{6} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{20} \cdot 3^{6} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$2184$	$768$	$21$	$1$	$1$		$0$	$958464$	$2.095474$	$351/4$	$1.27279$	$4.21180$	$[0, 0, 0, 79092, -37015056]$	\(y^2=x^3+79092x-37015056\)	4.8.0.b.1, 7.8.0.a.1, 24.16.0-4.b.1.1, 28.128.5.b.2, 91.24.0.?, $\ldots$	$[]$
97344.dx2	97344bf1	97344.dx	97344bf	$2$	$7$	\( 2^{6} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{20} \cdot 3^{6} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$2184$	$768$	$21$	$2.578675675$	$1$		$8$	$73728$	$0.812999$	$351/4$	$1.27279$	$2.87194$	$[0, 0, 0, 468, -16848]$	\(y^2=x^3+468x-16848\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 312.16.0.?, $\ldots$	$[(22, 64), (36, 216)]$
97344.eg2	97344ev1	97344.eg	97344ev	$2$	$7$	\( 2^{6} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{20} \cdot 3^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$2184$	$768$	$21$	$3.052435146$	$1$		$2$	$73728$	$0.812999$	$351/4$	$1.27279$	$2.87194$	$[0, 0, 0, 468, 16848]$	\(y^2=x^3+468x+16848\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 312.16.0.?, $\ldots$	$[(108, 1152)]$
97682.d2	97682a1	97682.d	97682a	$2$	$7$	\( 2 \cdot 13^{2} \cdot 17^{2} \)	\( - 2^{2} \cdot 13^{2} \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$6188$	$768$	$21$	$3.018462340$	$1$		$2$	$60480$	$0.640579$	$351/4$	$1.27279$	$2.69099$	$[1, -1, 0, 235, 5929]$	\(y^2+xy=x^3-x^2+235x+5929\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 364.384.21.?, $\ldots$	$[(0, 77)]$
97682.n2	97682k1	97682.n	97682k	$2$	$7$	\( 2 \cdot 13^{2} \cdot 17^{2} \)	\( - 2^{2} \cdot 13^{8} \cdot 17^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$6188$	$768$	$21$	$1$	$1$		$0$	$786240$	$1.923054$	$351/4$	$1.27279$	$4.03045$	$[1, -1, 1, 39683, 13145097]$	\(y^2+xy+y=x^3-x^2+39683x+13145097\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 68.16.0-4.b.1.1, 91.24.0.?, $\ldots$	$[]$
122018.l2	122018e1	122018.l	122018e	$2$	$7$	\( 2 \cdot 13^{2} \cdot 19^{2} \)	\( - 2^{2} \cdot 13^{8} \cdot 19^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$6916$	$768$	$21$	$1$	$1$		$0$	$1123200$	$1.978666$	$351/4$	$1.27279$	$4.01088$	$[1, -1, 0, 49570, -18378008]$	\(y^2+xy=x^3-x^2+49570x-18378008\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 76.16.0.?, 91.24.0.?, $\ldots$	$[]$
122018.ba2	122018bb1	122018.ba	122018bb	$2$	$7$	\( 2 \cdot 13^{2} \cdot 19^{2} \)	\( - 2^{2} \cdot 13^{2} \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$6916$	$768$	$21$	$3.205680318$	$1$		$2$	$86400$	$0.696192$	$351/4$	$1.27279$	$2.69686$	$[1, -1, 1, 293, -8433]$	\(y^2+xy+y=x^3-x^2+293x-8433\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 364.384.21.?, $\ldots$	$[(651, 16280)]$
132496.by2	132496bo1	132496.by	132496bo	$2$	$7$	\( 2^{4} \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{14} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$364$	$768$	$21$	$2.001425090$	$1$		$2$	$82944$	$0.890075$	$351/4$	$1.27279$	$2.87529$	$[0, 0, 0, 637, 26754]$	\(y^2=x^3+637x+26754\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 182.48.0.?, $\ldots$	$[(14, 196)]$
132496.ce2	132496bu1	132496.ce	132496bu	$2$	$7$	\( 2^{4} \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{14} \cdot 7^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$364$	$768$	$21$	$2.437701824$	$1$		$0$	$1078272$	$2.172550$	$351/4$	$1.27279$	$4.18013$	$[0, 0, 0, 107653, 58778538]$	\(y^2=x^3+107653x+58778538\)	4.8.0.b.1, 7.8.0.a.1, 14.16.0-7.a.1.1, 28.256.5-28.b.2.4, 91.24.0.?, $\ldots$	$[(-1183/2, 8281/2)]$
149058.bh2	149058fb1	149058.bh	149058fb	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 7^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1092$	$768$	$21$	$0.677018094$	$1$		$4$	$1437696$	$2.028709$	$351/4$	$1.27279$	$3.99389$	$[1, -1, 0, 60555, 24782057]$	\(y^2+xy=x^3-x^2+60555x+24782057\)	4.8.0.b.1, 7.8.0.a.1, 21.16.0-7.a.1.1, 28.128.5.b.2, 84.256.5.?, $\ldots$	$[(296, 8133)]$
149058.hf2	149058bv1	149058.hf	149058bv	$2$	$7$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1092$	$768$	$21$	$1$	$1$		$0$	$110592$	$0.746233$	$351/4$	$1.27279$	$2.70195$	$[1, -1, 1, 358, 11197]$	\(y^2+xy+y=x^3-x^2+358x+11197\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 273.48.0.?, $\ldots$	$[]$
178802.f2	178802v1	178802.f	178802v	$2$	$7$	\( 2 \cdot 13^{2} \cdot 23^{2} \)	\( - 2^{2} \cdot 13^{2} \cdot 23^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$8372$	$768$	$21$	$1$	$1$		$0$	$147840$	$0.791719$	$351/4$	$1.27279$	$2.70644$	$[1, -1, 0, 430, -14936]$	\(y^2+xy=x^3-x^2+430x-14936\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 364.384.21.?, $\ldots$	$[]$
178802.s2	178802h1	178802.s	178802h	$2$	$7$	\( 2 \cdot 13^{2} \cdot 23^{2} \)	\( - 2^{2} \cdot 13^{8} \cdot 23^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$8372$	$768$	$21$	$11.59275275$	$1$		$2$	$1921920$	$2.074192$	$351/4$	$1.27279$	$3.97894$	$[1, -1, 1, 72638, -32596443]$	\(y^2+xy+y=x^3-x^2+72638x-32596443\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 92.16.0.?, $\ldots$	$[(3522801, 6610227585)]$
270400.ei2	270400ei1	270400.ei	270400ei	$2$	$7$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{20} \cdot 5^{6} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$3640$	$768$	$21$	$1$	$1$		$0$	$322560$	$1.068411$	$351/4$	$1.27279$	$2.88240$	$[0, 0, 0, 1300, -78000]$	\(y^2=x^3+1300x-78000\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 364.384.21.?, $\ldots$	$[]$
270400.ej2	270400ej1	270400.ej	270400ej	$2$	$7$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{20} \cdot 5^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$3640$	$768$	$21$	$4.971439771$	$1$		$2$	$4193280$	$2.350887$	$351/4$	$1.27279$	$4.11282$	$[0, 0, 0, 219700, 171366000]$	\(y^2=x^3+219700x+171366000\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 40.16.0-4.b.1.1, 91.24.0.?, $\ldots$	$[(1166, 44864)]$
270400.gc2	270400gc1	270400.gc	270400gc	$2$	$7$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{20} \cdot 5^{6} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$3640$	$768$	$21$	$1$	$9$	$3$	$0$	$4193280$	$2.350887$	$351/4$	$1.27279$	$4.11282$	$[0, 0, 0, 219700, -171366000]$	\(y^2=x^3+219700x-171366000\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 40.16.0-4.b.1.1, 91.24.0.?, $\ldots$	$[]$
270400.gd2	270400gd1	270400.gd	270400gd	$2$	$7$	\( 2^{6} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{20} \cdot 5^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$3640$	$768$	$21$	$3.978439809$	$1$		$0$	$322560$	$1.068411$	$351/4$	$1.27279$	$2.88240$	$[0, 0, 0, 1300, 78000]$	\(y^2=x^3+1300x+78000\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 364.384.21.?, $\ldots$	$[(-74/3, 6976/3)]$
284258.h2	284258h1	284258.h	284258h	$2$	$7$	\( 2 \cdot 13^{2} \cdot 29^{2} \)	\( - 2^{2} \cdot 13^{8} \cdot 29^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$10556$	$768$	$21$	$10.03646963$	$1$		$0$	$3926832$	$2.190094$	$351/4$	$1.27279$	$3.94280$	$[1, -1, 0, 115480, 65274964]$	\(y^2+xy=x^3-x^2+115480x+65274964\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 116.16.0.?, $\ldots$	$[(24114/5, 4035002/5)]$
284258.u2	284258u1	284258.u	284258u	$2$	$7$	\( 2 \cdot 13^{2} \cdot 29^{2} \)	\( - 2^{2} \cdot 13^{2} \cdot 29^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$10556$	$768$	$21$	$1$	$1$		$0$	$302064$	$0.907620$	$351/4$	$1.27279$	$2.71728$	$[1, -1, 1, 683, 29553]$	\(y^2+xy+y=x^3-x^2+683x+29553\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 364.384.21.?, $\ldots$	$[]$
324818.e2	324818e1	324818.e	324818e	$2$	$7$	\( 2 \cdot 13^{2} \cdot 31^{2} \)	\( - 2^{2} \cdot 13^{2} \cdot 31^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$11284$	$768$	$21$	$1$	$1$		$0$	$362880$	$0.940966$	$351/4$	$1.27279$	$2.72025$	$[1, -1, 0, 781, -36503]$	\(y^2+xy=x^3-x^2+781x-36503\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 364.384.21.?, $\ldots$	$[]$
324818.t2	324818t1	324818.t	324818t	$2$	$7$	\( 2 \cdot 13^{2} \cdot 31^{2} \)	\( - 2^{2} \cdot 13^{8} \cdot 31^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$11284$	$768$	$21$	$7.243054103$	$1$		$0$	$4717440$	$2.223442$	$351/4$	$1.27279$	$3.93289$	$[1, -1, 1, 131957, -79801185]$	\(y^2+xy+y=x^3-x^2+131957x-79801185\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 124.16.0.?, $\ldots$	$[(1871635/3, 2557732828/3)]$
327184.ch2	327184ch1	327184.ch	327184ch	$2$	$7$	\( 2^{4} \cdot 11^{2} \cdot 13^{2} \)	\( - 2^{14} \cdot 11^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$4004$	$768$	$21$	$4.034177817$	$1$		$2$	$4792320$	$2.398540$	$351/4$	$1.27279$	$4.09612$	$[0, 0, 0, 265837, 228088146]$	\(y^2=x^3+265837x+228088146\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 44.16.0-4.b.1.1, 91.24.0.?, $\ldots$	$[(18590, 2535676)]$
327184.ck2	327184ck1	327184.ck	327184ck	$2$	$7$	\( 2^{4} \cdot 11^{2} \cdot 13^{2} \)	\( - 2^{14} \cdot 11^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$4004$	$768$	$21$	$1.898606729$	$1$		$2$	$368640$	$1.116066$	$351/4$	$1.27279$	$2.88417$	$[0, 0, 0, 1573, 103818]$	\(y^2=x^3+1573x+103818\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 364.384.21.?, $\ldots$	$[(-22, 242)]$
368082.bq2	368082bq1	368082.bq	368082bq	$2$	$7$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 11^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$12012$	$768$	$21$	$1.348915912$	$1$		$2$	$491520$	$0.972226$	$351/4$	$1.27279$	$2.72298$	$[1, -1, 0, 885, 43577]$	\(y^2+xy=x^3-x^2+885x+43577\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 364.384.21.?, $\ldots$	$[(14, 235)]$
368082.gj2	368082gj1	368082.gj	368082gj	$2$	$7$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 11^{6} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$12012$	$768$	$21$	$1$	$1$		$0$	$6389760$	$2.254700$	$351/4$	$1.27279$	$3.92379$	$[1, -1, 1, 149533, 96187303]$	\(y^2+xy+y=x^3-x^2+149533x+96187303\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 132.16.0.?, $\ldots$	$[]$
414050.cf2	414050cf1	414050.cf	414050cf	$2$	$7$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 5^{6} \cdot 7^{6} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1820$	$768$	$21$	$1$	$4$	$2$	$0$	$6289920$	$2.284122$	$351/4$	$1.27279$	$3.91539$	$[1, -1, 0, 168208, -114843884]$	\(y^2+xy=x^3-x^2+168208x-114843884\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 35.16.0-7.a.1.2, 91.24.0.?, $\ldots$	$[]$
414050.fp2	414050fp1	414050.fp	414050fp	$2$	$7$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{2} \cdot 5^{6} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2, 7$	4.8.0.2, 7.8.0.1	7B	$1820$	$768$	$21$	$6.819978252$	$1$		$0$	$483840$	$1.001646$	$351/4$	$1.27279$	$2.72550$	$[1, -1, 1, 995, -52503]$	\(y^2+xy+y=x^3-x^2+995x-52503\)	4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 364.384.21.?, $\ldots$	$[(6045/4, 458817/4)]$

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