Elliptic curve search results

Results (15 matches)

 

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
19320.b2	19320b2	19320.b	19320b	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$860160$	$2.706425$	$14073614784514581404/945607964406328125$	$1.02188$	$5.65090$	$[0, -1, 0, 506984, 1490513980]$	\(y^2=x^3-x^2+506984x+1490513980\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[]$
38640.cj2	38640t2	38640.cj	38640t	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$2.342949639$	$1$		$5$	$1720320$	$2.706425$	$14073614784514581404/945607964406328125$	$1.02188$	$5.28005$	$[0, 1, 0, 506984, -1490513980]$	\(y^2=x^3+x^2+506984x-1490513980\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(2024, 88494)]$
57960.bf2	57960bs2	57960.bf	57960bs	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{7} \cdot 7^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$6881280$	$3.255730$	$14073614784514581404/945607964406328125$	$1.02188$	$5.68587$	$[0, 0, 0, 4562853, -40248440314]$	\(y^2=x^3+4562853x-40248440314\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[]$
96600.ci2	96600cd2	96600.ci	96600cd	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{13} \cdot 7^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$20643840$	$3.511143$	$14073614784514581404/945607964406328125$	$1.02188$	$5.69985$	$[0, 1, 0, 12674592, 186339596688]$	\(y^2=x^3+x^2+12674592x+186339596688\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[]$
115920.ek2	115920bv2	115920.ek	115920bv	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{7} \cdot 7^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$0.429802285$	$1$		$9$	$13762560$	$3.255730$	$14073614784514581404/945607964406328125$	$1.02188$	$5.34788$	$[0, 0, 0, 4562853, 40248440314]$	\(y^2=x^3+4562853x+40248440314\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(-1957, 154350)]$
135240.dg2	135240ch2	135240.dg	135240ch	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{16} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$3.131431769$	$1$		$3$	$41287680$	$3.679379$	$14073614784514581404/945607964406328125$	$1.02188$	$5.70840$	$[0, 1, 0, 24842200, -511295979552]$	\(y^2=x^3+x^2+24842200x-511295979552\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(10516, 955500)]$
154560.dk2	154560cg2	154560.dk	154560cg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{16} \cdot 3^{4} \cdot 5^{7} \cdot 7^{10} \cdot 23^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$0.804105000$	$1$		$29$	$13762560$	$3.052998$	$14073614784514581404/945607964406328125$	$1.02188$	$5.01551$	$[0, -1, 0, 2027935, -11926139775]$	\(y^2=x^3-x^2+2027935x-11926139775\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(4245, 270480), (3755, 220500)]$
154560.gz2	154560ep2	154560.gz	154560ep	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{16} \cdot 3^{4} \cdot 5^{7} \cdot 7^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$13762560$	$3.052998$	$14073614784514581404/945607964406328125$	$1.02188$	$5.01551$	$[0, 1, 0, 2027935, 11926139775]$	\(y^2=x^3+x^2+2027935x+11926139775\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[]$
193200.bc2	193200hm2	193200.bc	193200hm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{13} \cdot 7^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$9$	$3$	$1$	$41287680$	$3.511143$	$14073614784514581404/945607964406328125$	$1.02188$	$5.37525$	$[0, -1, 0, 12674592, -186339596688]$	\(y^2=x^3-x^2+12674592x-186339596688\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[]$
270480.eg2	270480eg2	270480.eg	270480eg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{16} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$3.180498333$	$1$		$3$	$82575360$	$3.679379$	$14073614784514581404/945607964406328125$	$1.02188$	$5.39206$	$[0, -1, 0, 24842200, 511295979552]$	\(y^2=x^3-x^2+24842200x+511295979552\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(-4391, 563500)]$
289800.ee2	289800ee2	289800.ee	289800ee	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{13} \cdot 7^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$165150720$	$4.060448$	$14073614784514581404/945607964406328125$	$1.02188$	$5.72607$	$[0, 0, 0, 114071325, -5031055039250]$	\(y^2=x^3+114071325x-5031055039250\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[]$
405720.ck2	405720ck2	405720.ck	405720ck	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{10} \cdot 5^{7} \cdot 7^{16} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$330301440$	$4.228683$	$14073614784514581404/945607964406328125$	$1.02188$	$5.73321$	$[0, 0, 0, 223579797, 13805215027702]$	\(y^2=x^3+223579797x+13805215027702\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[]$
444360.be2	444360be2	444360.be	444360be	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{10} \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$1$		$1$	$454164480$	$4.274170$	$14073614784514581404/945607964406328125$	$1.02188$	$5.73507$	$[0, -1, 0, 268194360, -18137229149988]$	\(y^2=x^3-x^2+268194360x-18137229149988\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[]$
463680.bf2	463680bf2	463680.bf	463680bf	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{16} \cdot 3^{10} \cdot 5^{7} \cdot 7^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$1$	$9$	$3$	$1$	$110100480$	$3.602303$	$14073614784514581404/945607964406328125$	$1.02188$	$5.09841$	$[0, 0, 0, 18251412, -321987522512]$	\(y^2=x^3+18251412x-321987522512\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[]$
463680.gj2	463680gj2	463680.gj	463680gj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{16} \cdot 3^{10} \cdot 5^{7} \cdot 7^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3220$	$12$	$0$	$2.097150766$	$1$		$5$	$110100480$	$3.602303$	$14073614784514581404/945607964406328125$	$1.02188$	$5.09841$	$[0, 0, 0, 18251412, 321987522512]$	\(y^2=x^3+18251412x+321987522512\)	2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?	$[(2722, 625968)]$