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.ba5	19320bb2	19320.ba	19320bb	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.5	2Cs	$6440$	$192$	$1$	$1.472101693$	$1$		$19$	$57344$	$1.325508$	$394315384276816/208332909225$	$0.93560$	$3.96735$	$[0, 1, 0, -9700, 105248]$	\(y^2=x^3+x^2-9700x+105248\)	2.6.0.a.1, 4.24.0-4.b.1.3, 40.48.0-40.h.2.9, 56.48.0-56.l.1.10, 184.48.0.?, $\ldots$	$[(8, 168)]$
38640.bf5	38640k2	38640.bf	38640k	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.6	2Cs	$6440$	$192$	$1$	$5.371032303$	$1$		$3$	$114688$	$1.325508$	$394315384276816/208332909225$	$0.93560$	$3.70699$	$[0, -1, 0, -9700, -105248]$	\(y^2=x^3-x^2-9700x-105248\)	2.6.0.a.1, 4.24.0-4.b.1.1, 40.48.0-40.h.2.3, 56.48.0-56.l.1.3, 184.48.0.?, $\ldots$	$[(-344/3, 12320/3)]$
57960.v5	57960r2	57960.v	57960r	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$1$	$1$		$3$	$458752$	$1.874815$	$394315384276816/208332909225$	$0.93560$	$4.17096$	$[0, 0, 0, -87303, -2928998]$	\(y^2=x^3-87303x-2928998\)	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.3, 40.24.0.h.2, 56.24.0.l.1, $\ldots$	$[]$
96600.d5	96600i2	96600.d	96600i	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$6440$	$192$	$1$	$1$	$1$		$3$	$1376256$	$2.130226$	$394315384276816/208332909225$	$0.93560$	$4.25236$	$[0, -1, 0, -242508, 13641012]$	\(y^2=x^3-x^2-242508x+13641012\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 20.24.0-4.b.1.3, 40.48.0-40.h.2.4, $\ldots$	$[]$
115920.d5	115920q2	115920.d	115920q	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$1$	$1$		$3$	$917504$	$1.874815$	$394315384276816/208332909225$	$0.93560$	$3.92302$	$[0, 0, 0, -87303, 2928998]$	\(y^2=x^3-87303x+2928998\)	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.1, 40.24.0.h.2, 56.24.0.l.1, $\ldots$	$[]$
135240.e5	135240bs2	135240.e	135240bs	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 7^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.26	2Cs	$6440$	$192$	$1$	$2.847799660$	$1$		$9$	$2752512$	$2.298462$	$394315384276816/208332909225$	$0.93560$	$4.30213$	$[0, -1, 0, -475316, -37050684]$	\(y^2=x^3-x^2-475316x-37050684\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 28.24.0-4.b.1.3, 40.48.0-40.h.2.5, $\ldots$	$[(-484, 8910)]$
154560.by5	154560hp2	154560.by	154560hp	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.21	2Cs	$6440$	$192$	$1$	$1$	$1$		$3$	$917504$	$1.672081$	$394315384276816/208332909225$	$0.93560$	$3.62496$	$[0, -1, 0, -38801, 880785]$	\(y^2=x^3-x^2-38801x+880785\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 40.48.0-40.h.2.11, 56.48.0-56.l.1.5, $\ldots$	$[]$
154560.ek5	154560bx2	154560.ek	154560bx	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.20	2Cs	$6440$	$192$	$1$	$2.450640680$	$1$		$31$	$917504$	$1.672081$	$394315384276816/208332909225$	$0.93560$	$3.62496$	$[0, 1, 0, -38801, -880785]$	\(y^2=x^3+x^2-38801x-880785\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 40.48.0-40.h.2.1, 56.48.0-56.l.1.11, $\ldots$	$[(-38, 735), (391, 6624)]$
193200.hl5	193200ft2	193200.hl	193200ft	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.9	2Cs	$6440$	$192$	$1$	$1.551215885$	$1$		$9$	$2752512$	$2.130226$	$394315384276816/208332909225$	$0.93560$	$4.01019$	$[0, 1, 0, -242508, -13641012]$	\(y^2=x^3+x^2-242508x-13641012\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 20.24.0-4.b.1.1, 40.48.0-40.h.2.10, $\ldots$	$[(-126, 3864)]$
270480.gv5	270480gv2	270480.gv	270480gv	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 7^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.26	2Cs	$6440$	$192$	$1$	$1$	$1$		$3$	$5505024$	$2.298462$	$394315384276816/208332909225$	$0.93560$	$4.06372$	$[0, 1, 0, -475316, 37050684]$	\(y^2=x^3+x^2-475316x+37050684\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 28.24.0-4.b.1.1, 40.48.0-40.h.2.15, $\ldots$	$[]$
289800.cf5	289800cf2	289800.cf	289800cf	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{8} \cdot 7^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$4.455790790$	$1$		$5$	$11010048$	$2.679535$	$394315384276816/208332909225$	$0.93560$	$4.40502$	$[0, 0, 0, -2182575, -366124750]$	\(y^2=x^3-2182575x-366124750\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.8, 40.24.0.h.2, 56.24.0.l.1, $\ldots$	$[(2365, 87750)]$
405720.gr5	405720gr2	405720.gr	405720gr	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 7^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$11.80925770$	$1$		$3$	$22020096$	$2.847771$	$394315384276816/208332909225$	$0.93560$	$4.44658$	$[0, 0, 0, -4277847, 1004646314]$	\(y^2=x^3-4277847x+1004646314\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.4, 40.24.0.h.2, 56.24.0.l.1, $\ldots$	$[(-1615250/31, 1748921328/31)]$
444360.bm5	444360bm2	444360.bm	444360bm	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 23^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.14	2Cs	$6440$	$192$	$1$	$1$	$1$		$3$	$30277632$	$2.893257$	$394315384276816/208332909225$	$0.93560$	$4.45744$	$[0, 1, 0, -5131476, -1321603776]$	\(y^2=x^3+x^2-5131476x-1321603776\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 20.24.0-4.b.1.2, 40.48.0-40.h.2.23, $\ldots$	$[]$
463680.ko5	463680ko2	463680.ko	463680ko	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{14} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$1$	$1$		$3$	$7340032$	$2.221390$	$394315384276816/208332909225$	$0.93560$	$3.82495$	$[0, 0, 0, -349212, 23431984]$	\(y^2=x^3-349212x+23431984\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.11, 40.24.0.h.2, 56.24.0.l.1, $\ldots$	$[]$
463680.ln5	463680ln2	463680.ln	463680ln	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{14} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$2.742129621$	$1$		$9$	$7340032$	$2.221390$	$394315384276816/208332909225$	$0.93560$	$3.82495$	$[0, 0, 0, -349212, -23431984]$	\(y^2=x^3-349212x-23431984\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.1, 40.24.0.h.2, 56.24.0.l.1, $\ldots$	$[(-298, 7360)]$