Elliptic curve search results

Results (39 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	Manin constant
472.a1	472a1	472.a	472a	$1$	$1$	\( 2^{3} \cdot 59 \)	\( - 2^{4} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$0.203459785$	$1$		$6$	$40$	$-0.742495$	$55296/59$	$0.69472$	$2.22399$	$[0, 0, 0, 2, 1]$	\(y^2=x^3+2x+1\)	118.2.0.?	$[(0, 1)]$	$1$
944.k1	944d1	944.k	944d	$1$	$1$	\( 2^{4} \cdot 59 \)	\( - 2^{4} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$80$	$-0.742495$	$55296/59$	$0.69472$	$1.99895$	$[0, 0, 0, 2, -1]$	\(y^2=x^3+2x-1\)	118.2.0.?	$[ ]$	$1$
3776.b1	3776s1	3776.b	3776s	$1$	$1$	\( 2^{6} \cdot 59 \)	\( - 2^{10} \cdot 59 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$0.769551288$	$1$		$12$	$640$	$-0.395921$	$55296/59$	$0.69472$	$2.16744$	$[0, 0, 0, 8, -8]$	\(y^2=x^3+8x-8\)	118.2.0.?	$[(2, 4), (1, 1)]$	$1$
3776.y1	3776j1	3776.y	3776j	$1$	$1$	\( 2^{6} \cdot 59 \)	\( - 2^{10} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$640$	$-0.395921$	$55296/59$	$0.69472$	$2.16744$	$[0, 0, 0, 8, 8]$	\(y^2=x^3+8x+8\)	118.2.0.?	$[ ]$	$1$
4248.f1	4248i1	4248.f	4248i	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 59 \)	\( - 2^{4} \cdot 3^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$560$	$-0.193189$	$55296/59$	$0.69472$	$2.42809$	$[0, 0, 0, 18, -27]$	\(y^2=x^3+18x-27\)	118.2.0.?	$[ ]$	$1$
8496.n1	8496e1	8496.n	8496e	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 59 \)	\( - 2^{4} \cdot 3^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$1120$	$-0.193189$	$55296/59$	$0.69472$	$2.24206$	$[0, 0, 0, 18, 27]$	\(y^2=x^3+18x+27\)	118.2.0.?	$[ ]$	$1$
11800.h1	11800e1	11800.h	11800e	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 59 \)	\( - 2^{4} \cdot 5^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$5600$	$0.062224$	$55296/59$	$0.69472$	$2.49040$	$[0, 0, 0, 50, 125]$	\(y^2=x^3+50x+125\)	118.2.0.?	$[ ]$	$1$
23128.u1	23128n1	23128.u	23128n	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 59 \)	\( - 2^{4} \cdot 7^{6} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$4.658129730$	$1$		$0$	$13200$	$0.230460$	$55296/59$	$0.69472$	$2.52453$	$[0, 0, 0, 98, -343]$	\(y^2=x^3+98x-343\)	118.2.0.?	$[(88/3, 1063/3)]$	$1$
23600.b1	23600g1	23600.b	23600g	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 59 \)	\( - 2^{4} \cdot 5^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$11200$	$0.062224$	$55296/59$	$0.69472$	$2.31897$	$[0, 0, 0, 50, -125]$	\(y^2=x^3+50x-125\)	118.2.0.?	$[ ]$	$1$
27848.a1	27848k1	27848.a	27848k	$1$	$1$	\( 2^{3} \cdot 59^{2} \)	\( - 2^{4} \cdot 59^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$0.974158806$	$1$		$0$	$139200$	$1.296274$	$55296/59$	$0.69472$	$3.72839$	$[0, 0, 0, 6962, -205379]$	\(y^2=x^3+6962x-205379\)	118.2.0.?	$[(177/2, 3481/2)]$	$1$
33984.r1	33984bw1	33984.r	33984bw	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 59 \)	\( - 2^{10} \cdot 3^{6} \cdot 59 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$2.929390601$	$1$		$6$	$8960$	$0.153385$	$55296/59$	$0.69472$	$2.34277$	$[0, 0, 0, 72, 216]$	\(y^2=x^3+72x+216\)	118.2.0.?	$[(-2, 8), (10, 44)]$	$1$
33984.w1	33984l1	33984.w	33984l	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 59 \)	\( - 2^{10} \cdot 3^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$8960$	$0.153385$	$55296/59$	$0.69472$	$2.34277$	$[0, 0, 0, 72, -216]$	\(y^2=x^3+72x-216\)	118.2.0.?	$[ ]$	$1$
46256.a1	46256n1	46256.a	46256n	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 59 \)	\( - 2^{4} \cdot 7^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$26400$	$0.230460$	$55296/59$	$0.69472$	$2.36163$	$[0, 0, 0, 98, 343]$	\(y^2=x^3+98x+343\)	118.2.0.?	$[ ]$	$1$
55696.bc1	55696j1	55696.bc	55696j	$1$	$1$	\( 2^{4} \cdot 59^{2} \)	\( - 2^{4} \cdot 59^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$278400$	$1.296274$	$55296/59$	$0.69472$	$3.49190$	$[0, 0, 0, 6962, 205379]$	\(y^2=x^3+6962x+205379\)	118.2.0.?	$[ ]$	$1$
57112.a1	57112e1	57112.a	57112e	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 59 \)	\( - 2^{4} \cdot 11^{6} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$0.719837248$	$1$		$4$	$51200$	$0.456453$	$55296/59$	$0.69472$	$2.56377$	$[0, 0, 0, 242, -1331]$	\(y^2=x^3+242x-1331\)	118.2.0.?	$[(22, 121)]$	$1$
79768.b1	79768o1	79768.b	79768o	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 59 \)	\( - 2^{4} \cdot 13^{6} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$0.768803278$	$1$		$4$	$76800$	$0.539980$	$55296/59$	$0.69472$	$2.57669$	$[0, 0, 0, 338, 2197]$	\(y^2=x^3+338x+2197\)	118.2.0.?	$[(26, 169)]$	$1$
94400.a1	94400ba1	94400.a	94400ba	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 59 \)	\( - 2^{10} \cdot 5^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$89600$	$0.408798$	$55296/59$	$0.69472$	$2.40138$	$[0, 0, 0, 200, 1000]$	\(y^2=x^3+200x+1000\)	118.2.0.?	$[ ]$	$1$
94400.dr1	94400cg1	94400.dr	94400cg	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 59 \)	\( - 2^{10} \cdot 5^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$4$	$2$	$0$	$89600$	$0.408798$	$55296/59$	$0.69472$	$2.40138$	$[0, 0, 0, 200, -1000]$	\(y^2=x^3+200x-1000\)	118.2.0.?	$[ ]$	$1$
106200.n1	106200r1	106200.n	106200r	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 59 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$3.097544561$	$1$		$2$	$78400$	$0.611530$	$55296/59$	$0.69472$	$2.58715$	$[0, 0, 0, 450, -3375]$	\(y^2=x^3+450x-3375\)	118.2.0.?	$[(16, 89)]$	$1$
114224.y1	114224e1	114224.y	114224e	$1$	$1$	\( 2^{4} \cdot 11^{2} \cdot 59 \)	\( - 2^{4} \cdot 11^{6} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$6.663603332$	$1$		$0$	$102400$	$0.456453$	$55296/59$	$0.69472$	$2.41118$	$[0, 0, 0, 242, 1331]$	\(y^2=x^3+242x+1331\)	118.2.0.?	$[(583/21, 376552/21)]$	$1$
136408.t1	136408t1	136408.t	136408t	$1$	$1$	\( 2^{3} \cdot 17^{2} \cdot 59 \)	\( - 2^{4} \cdot 17^{6} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$2.332623309$	$1$		$0$	$184320$	$0.674112$	$55296/59$	$0.69472$	$2.59590$	$[0, 0, 0, 578, 4913]$	\(y^2=x^3+578x+4913\)	118.2.0.?	$[(-68/3, 289/3)]$	$1$
159536.bc1	159536bc1	159536.bc	159536bc	$1$	$1$	\( 2^{4} \cdot 13^{2} \cdot 59 \)	\( - 2^{4} \cdot 13^{6} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$10.50802007$	$1$		$0$	$153600$	$0.539980$	$55296/59$	$0.69472$	$2.42760$	$[0, 0, 0, 338, -2197]$	\(y^2=x^3+338x-2197\)	118.2.0.?	$[(419731/75, 279362746/75)]$	$1$
170392.g1	170392d1	170392.g	170392d	$1$	$1$	\( 2^{3} \cdot 19^{2} \cdot 59 \)	\( - 2^{4} \cdot 19^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$252720$	$0.729725$	$55296/59$	$0.69472$	$2.60336$	$[0, 0, 0, 722, -6859]$	\(y^2=x^3+722x-6859\)	118.2.0.?	$[ ]$	$1$
185024.c1	185024bw1	185024.c	185024bw	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 59 \)	\( - 2^{10} \cdot 7^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$211200$	$0.577034$	$55296/59$	$0.69472$	$2.43460$	$[0, 0, 0, 392, -2744]$	\(y^2=x^3+392x-2744\)	118.2.0.?	$[ ]$	$1$
185024.dj1	185024bt1	185024.dj	185024bt	$1$	$1$	\( 2^{6} \cdot 7^{2} \cdot 59 \)	\( - 2^{10} \cdot 7^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$4$	$2$	$0$	$211200$	$0.577034$	$55296/59$	$0.69472$	$2.43460$	$[0, 0, 0, 392, 2744]$	\(y^2=x^3+392x+2744\)	118.2.0.?	$[ ]$	$1$
208152.bh1	208152o1	208152.bh	208152o	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 59 \)	\( - 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$184800$	$0.779766$	$55296/59$	$0.69472$	$2.60984$	$[0, 0, 0, 882, 9261]$	\(y^2=x^3+882x+9261\)	118.2.0.?	$[ ]$	$1$
212400.ff1	212400ft1	212400.ff	212400ft	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 59 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$156800$	$0.611530$	$55296/59$	$0.69472$	$2.44096$	$[0, 0, 0, 450, 3375]$	\(y^2=x^3+450x+3375\)	118.2.0.?	$[ ]$	$1$
222784.b1	222784b1	222784.b	222784b	$1$	$1$	\( 2^{6} \cdot 59^{2} \)	\( - 2^{10} \cdot 59^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.660904685$	$1$		$2$	$2227200$	$1.642847$	$55296/59$	$0.69472$	$3.43652$	$[0, 0, 0, 27848, 1643032]$	\(y^2=x^3+27848x+1643032\)	118.2.0.?	$[(177, 3481)]$	$1$
222784.cl1	222784cm1	222784.cl	222784cm	$1$	$1$	\( 2^{6} \cdot 59^{2} \)	\( - 2^{10} \cdot 59^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$9$	$3$	$0$	$2227200$	$1.642847$	$55296/59$	$0.69472$	$3.43652$	$[0, 0, 0, 27848, -1643032]$	\(y^2=x^3+27848x-1643032\)	118.2.0.?	$[ ]$	$1$
249688.a1	249688a1	249688.a	249688a	$1$	$1$	\( 2^{3} \cdot 23^{2} \cdot 59 \)	\( - 2^{4} \cdot 23^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$475200$	$0.825253$	$55296/59$	$0.69472$	$2.61555$	$[0, 0, 0, 1058, -12167]$	\(y^2=x^3+1058x-12167\)	118.2.0.?	$[ ]$	$1$
250632.n1	250632n1	250632.n	250632n	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 59^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 59^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$7.257745002$	$1$		$2$	$1948800$	$1.845581$	$55296/59$	$0.69472$	$3.59965$	$[0, 0, 0, 62658, 5545233]$	\(y^2=x^3+62658x+5545233\)	118.2.0.?	$[(1864, 81233)]$	$1$
272816.c1	272816c1	272816.c	272816c	$1$	$1$	\( 2^{4} \cdot 17^{2} \cdot 59 \)	\( - 2^{4} \cdot 17^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$368640$	$0.674112$	$55296/59$	$0.69472$	$2.45214$	$[0, 0, 0, 578, -4913]$	\(y^2=x^3+578x-4913\)	118.2.0.?	$[ ]$	$1$
340784.a1	340784a1	340784.a	340784a	$1$	$1$	\( 2^{4} \cdot 19^{2} \cdot 59 \)	\( - 2^{4} \cdot 19^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$505440$	$0.729725$	$55296/59$	$0.69472$	$2.46171$	$[0, 0, 0, 722, 6859]$	\(y^2=x^3+722x+6859\)	118.2.0.?	$[ ]$	$1$
396952.g1	396952g1	396952.g	396952g	$1$	$1$	\( 2^{3} \cdot 29^{2} \cdot 59 \)	\( - 2^{4} \cdot 29^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$9$	$3$	$0$	$997920$	$0.941154$	$55296/59$	$0.69472$	$2.62938$	$[0, 0, 0, 1682, 24389]$	\(y^2=x^3+1682x+24389\)	118.2.0.?	$[ ]$	$1$
416304.by1	416304by1	416304.by	416304by	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 59 \)	\( - 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$369600$	$0.779766$	$55296/59$	$0.69472$	$2.47003$	$[0, 0, 0, 882, -9261]$	\(y^2=x^3+882x-9261\)	118.2.0.?	$[ ]$	$1$
453592.h1	453592h1	453592.h	453592h	$1$	$1$	\( 2^{3} \cdot 31^{2} \cdot 59 \)	\( - 2^{4} \cdot 31^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$4$	$2$	$0$	$1152000$	$0.974499$	$55296/59$	$0.69472$	$2.63317$	$[0, 0, 0, 1922, -29791]$	\(y^2=x^3+1922x-29791\)	118.2.0.?	$[ ]$	$1$
456896.f1	456896f1	456896.f	456896f	$1$	$1$	\( 2^{6} \cdot 11^{2} \cdot 59 \)	\( - 2^{10} \cdot 11^{6} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$2.901968512$	$1$		$2$	$819200$	$0.803026$	$55296/59$	$0.69472$	$2.47382$	$[0, 0, 0, 968, 10648]$	\(y^2=x^3+968x+10648\)	118.2.0.?	$[(-6, 68)]$	$1$
456896.cy1	456896cy1	456896.cy	456896cy	$1$	$1$	\( 2^{6} \cdot 11^{2} \cdot 59 \)	\( - 2^{10} \cdot 11^{6} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$7.492818446$	$1$		$0$	$819200$	$0.803026$	$55296/59$	$0.69472$	$2.47382$	$[0, 0, 0, 968, -10648]$	\(y^2=x^3+968x-10648\)	118.2.0.?	$[(39358/3, 7808372/3)]$	$1$
499376.bg1	499376bg1	499376.bg	499376bg	$1$	$1$	\( 2^{4} \cdot 23^{2} \cdot 59 \)	\( - 2^{4} \cdot 23^{6} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$16.02587326$	$1$		$0$	$950400$	$0.825253$	$55296/59$	$0.69472$	$2.47738$	$[0, 0, 0, 1058, 12167]$	\(y^2=x^3+1058x+12167\)	118.2.0.?	$[(41617051/2199, 1573972657676/2199)]$	$1$

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