Elliptic curve search results

Results (15 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
2382.c1	2382e1	2382.c	2382e	$1$	$1$	\( 2 \cdot 3 \cdot 397 \)	\( - 2^{10} \cdot 3^{4} \cdot 397 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1588$	$2$	$0$	$0.087037080$	$1$		$10$	$1120$	$0.316418$	$-12155894380657/32928768$	$0.91632$	$3.87535$	$1$	$[1, 1, 1, -479, 3845]$	\(y^2+xy+y=x^3+x^2-479x+3845\)	1588.2.0.?	$[(15, 10)]$	$1$
7146.h1	7146h1	7146.h	7146h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 397 \)	\( - 2^{10} \cdot 3^{10} \cdot 397 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$3.017944339$	$1$		$2$	$8960$	$0.865725$	$-12155894380657/32928768$	$0.91632$	$4.13837$	$1$	$[1, -1, 0, -4311, -108131]$	\(y^2+xy=x^3-x^2-4311x-108131\)	1588.2.0.?	$[(78, 121)]$	$1$
19056.k1	19056q1	19056.k	19056q	$1$	$1$	\( 2^{4} \cdot 3 \cdot 397 \)	\( - 2^{22} \cdot 3^{4} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$26880$	$1.009565$	$-12155894380657/32928768$	$0.91632$	$3.90165$	$1$	$[0, 1, 0, -7664, -261420]$	\(y^2=x^3+x^2-7664x-261420\)	1588.2.0.?	$[ ]$	$1$
57168.bb1	57168bi1	57168.bb	57168bi	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 397 \)	\( - 2^{22} \cdot 3^{10} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$215040$	$1.558872$	$-12155894380657/32928768$	$0.91632$	$4.11210$	$1$	$[0, 0, 0, -68979, 6989362]$	\(y^2=x^3-68979x+6989362\)	1588.2.0.?	$[ ]$	$1$
59550.c1	59550c1	59550.c	59550c	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 397 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 397 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$0.582500717$	$1$		$16$	$143360$	$1.121138$	$-12155894380657/32928768$	$0.91632$	$3.61907$	$1$	$[1, 0, 1, -11976, 504598]$	\(y^2+xy+y=x^3-11976x+504598\)	1588.2.0.?	$[(137, 1131), (62, 6)]$	$1$
76224.o1	76224v1	76224.o	76224v	$1$	$1$	\( 2^{6} \cdot 3 \cdot 397 \)	\( - 2^{28} \cdot 3^{4} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$215040$	$1.356138$	$-12155894380657/32928768$	$0.91632$	$3.79046$	$1$	$[0, -1, 0, -30657, -2060703]$	\(y^2=x^3-x^2-30657x-2060703\)	1588.2.0.?	$[ ]$	$1$
76224.bk1	76224m1	76224.bk	76224m	$1$	$1$	\( 2^{6} \cdot 3 \cdot 397 \)	\( - 2^{28} \cdot 3^{4} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$215040$	$1.356138$	$-12155894380657/32928768$	$0.91632$	$3.79046$	$1$	$[0, 1, 0, -30657, 2060703]$	\(y^2=x^3+x^2-30657x+2060703\)	1588.2.0.?	$[ ]$	$1$
116718.n1	116718l1	116718.n	116718l	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 397 \)	\( - 2^{10} \cdot 3^{4} \cdot 7^{6} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$423360$	$1.289373$	$-12155894380657/32928768$	$0.91632$	$3.58336$	$1$	$[1, 0, 0, -23472, -1389312]$	\(y^2+xy=x^3-23472x-1389312\)	1588.2.0.?	$[ ]$	$1$
178650.s1	178650d1	178650.s	178650d	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 397 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 397 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$2.514295894$	$1$		$2$	$1146880$	$1.670443$	$-12155894380657/32928768$	$0.91632$	$3.83537$	$1$	$[1, -1, 1, -107780, -13624153]$	\(y^2+xy+y=x^3-x^2-107780x-13624153\)	1588.2.0.?	$[(789, 19405)]$	$1$
228672.t1	228672h1	228672.t	228672h	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 397 \)	\( - 2^{28} \cdot 3^{10} \cdot 397 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1.393852456$	$1$		$4$	$1720320$	$1.905445$	$-12155894380657/32928768$	$0.91632$	$3.98717$	$1$	$[0, 0, 0, -275916, 55914896]$	\(y^2=x^3-275916x+55914896\)	1588.2.0.?	$[(-110, 9216)]$	$1$
228672.w1	228672cc1	228672.w	228672cc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 397 \)	\( - 2^{28} \cdot 3^{10} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$1720320$	$1.905445$	$-12155894380657/32928768$	$0.91632$	$3.98717$	$1$	$[0, 0, 0, -275916, -55914896]$	\(y^2=x^3-275916x-55914896\)	1588.2.0.?	$[ ]$	$1$
288222.a1	288222a1	288222.a	288222a	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 397 \)	\( - 2^{10} \cdot 3^{4} \cdot 11^{6} \cdot 397 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$3.401917817$	$1$		$2$	$1568000$	$1.515366$	$-12155894380657/32928768$	$0.91632$	$3.54142$	$1$	$[1, 1, 0, -57961, -5407739]$	\(y^2+xy=x^3+x^2-57961x-5407739\)	1588.2.0.?	$[(370, 4711)]$	$1$
350154.h1	350154h1	350154.h	350154h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 397 \)	\( - 2^{10} \cdot 3^{10} \cdot 7^{6} \cdot 397 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$3.176535777$	$1$		$2$	$3386880$	$1.838680$	$-12155894380657/32928768$	$0.91632$	$3.79133$	$1$	$[1, -1, 0, -211248, 37511424]$	\(y^2+xy=x^3-x^2-211248x+37511424\)	1588.2.0.?	$[(256, 272)]$	$1$
402558.f1	402558f1	402558.f	402558f	$1$	$1$	\( 2 \cdot 3 \cdot 13^{2} \cdot 397 \)	\( - 2^{10} \cdot 3^{4} \cdot 13^{6} \cdot 397 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1.550103335$	$1$		$4$	$2580480$	$1.598892$	$-12155894380657/32928768$	$0.91632$	$3.52740$	$1$	$[1, 1, 0, -80954, 8852628]$	\(y^2+xy=x^3+x^2-80954x+8852628\)	1588.2.0.?	$[(164, 62)]$	$1$
476400.w1	476400w1	476400.w	476400w	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 397 \)	\( - 2^{22} \cdot 3^{4} \cdot 5^{6} \cdot 397 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1588$	$2$	$0$	$1$	$1$		$0$	$3440640$	$1.814283$	$-12155894380657/32928768$	$0.91632$	$3.67966$	$1$	$[0, -1, 0, -191608, -32294288]$	\(y^2=x^3-x^2-191608x-32294288\)	1588.2.0.?	$[ ]$	$1$

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