Elliptic curve search results

Results (14 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
19110.bm1	19110bv2	19110.bm	19110bv	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 7^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$0$	$430080$	$2.327488$	$584759426925367/191909250000$	$0.97552$	$5.22576$	$[1, 1, 1, -597556, 116730053]$	\(y^2+xy+y=x^3+x^2-597556x+116730053\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[ ]$
19110.cx1	19110dd2	19110.cx	19110dd	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$0.171084245$	$1$		$14$	$61440$	$1.354534$	$584759426925367/191909250000$	$0.97552$	$4.04140$	$[1, 0, 0, -12195, -342063]$	\(y^2+xy=x^3-12195x-342063\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[(-36, 243)]$
57330.bl1	57330bd2	57330.bl	57330bd	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{6} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.666205284$	$1$		$6$	$491520$	$1.903841$	$584759426925367/191909250000$	$0.97552$	$4.23778$	$[1, -1, 0, -109755, 9235701]$	\(y^2+xy=x^3-x^2-109755x+9235701\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[(58, 1721)]$
57330.cu1	57330cx2	57330.cu	57330cx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{6} \cdot 7^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$2.265042137$	$1$		$6$	$3440640$	$2.876797$	$584759426925367/191909250000$	$0.97552$	$5.30340$	$[1, -1, 0, -5378004, -3157089440]$	\(y^2+xy=x^3-x^2-5378004x-3157089440\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[(-649, 8042)]$
95550.p1	95550bq2	95550.p	95550bq	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{12} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$2.252688106$	$1$		$4$	$1474560$	$2.159252$	$584759426925367/191909250000$	$0.97552$	$4.31628$	$[1, 1, 0, -304875, -42757875]$	\(y^2+xy=x^3+x^2-304875x-42757875\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[(-305, 4840)]$
95550.dn1	95550dy2	95550.dn	95550dy	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{12} \cdot 7^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.417880520$	$1$		$8$	$10321920$	$3.132210$	$584759426925367/191909250000$	$0.97552$	$5.33443$	$[1, 0, 1, -14938901, 14621134448]$	\(y^2+xy+y=x^3-14938901x+14621134448\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[(-993, 169246)]$
152880.ee1	152880dr2	152880.ee	152880dr	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{6} \cdot 7^{3} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$1474560$	$2.047684$	$584759426925367/191909250000$	$0.97552$	$4.03419$	$[0, -1, 0, -195120, 21892032]$	\(y^2=x^3-x^2-195120x+21892032\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[ ]$
152880.fw1	152880ch2	152880.fw	152880ch	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{6} \cdot 7^{9} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$5.481780303$	$1$		$3$	$10321920$	$3.020638$	$584759426925367/191909250000$	$0.97552$	$5.01224$	$[0, 1, 0, -9560896, -7489845196]$	\(y^2=x^3+x^2-9560896x-7489845196\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[(-1060, 38142)]$
248430.cp1	248430cp2	248430.cp	248430cp	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 7^{9} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$3.925855510$	$1$		$2$	$72253440$	$3.609966$	$584759426925367/191909250000$	$0.97552$	$5.38562$	$[1, 1, 0, -100986967, 256960861669]$	\(y^2+xy=x^3+x^2-100986967x+256960861669\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[(-5282, 804541)]$
248430.du1	248430du2	248430.du	248430du	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 7^{3} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$0.700276701$	$1$		$8$	$10321920$	$2.637009$	$584759426925367/191909250000$	$0.97552$	$4.44579$	$[1, 0, 1, -2060959, -749451454]$	\(y^2+xy+y=x^3-2060959x-749451454\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[(-584, 16262)]$
286650.qa1	286650qa2	286650.qa	286650qa	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{12} \cdot 7^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$4$	$2$	$0$	$82575360$	$3.681515$	$584759426925367/191909250000$	$0.97552$	$5.39262$	$[1, -1, 1, -134450105, -394770630103]$	\(y^2+xy+y=x^3-x^2-134450105x-394770630103\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[ ]$
286650.qo1	286650qo2	286650.qo	286650qo	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{12} \cdot 7^{3} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$3.025698307$	$1$		$4$	$11796480$	$2.708561$	$584759426925367/191909250000$	$0.97552$	$4.46349$	$[1, -1, 1, -2743880, 1151718747]$	\(y^2+xy+y=x^3-x^2-2743880x+1151718747\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[(1565, 25461)]$
458640.s1	458640s2	458640.s	458640s	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{16} \cdot 3^{16} \cdot 5^{6} \cdot 7^{3} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$13.23086166$	$1$		$11$	$11796480$	$2.596989$	$584759426925367/191909250000$	$0.97552$	$4.19985$	$[0, 0, 0, -1756083, -589328782]$	\(y^2=x^3-1756083x-589328782\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[(-377, 4374), (10558, 1076004)]$
458640.in1	458640in2	458640.in	458640in	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{16} \cdot 3^{16} \cdot 5^{6} \cdot 7^{9} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$82575360$	$3.569942$	$584759426925367/191909250000$	$0.97552$	$5.09549$	$[0, 0, 0, -86048067, 202139772226]$	\(y^2=x^3-86048067x+202139772226\)	2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.?	$[ ]$

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