Elliptic curve search results

Results (28 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
6240.b1	6240v2	6240.b	6240v	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 13 \)	\( 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$11520$	$1.239714$	$7916055336451592/385003125$	$0.99391$	$4.90300$	$[0, -1, 0, -33216, 2341080]$	\(y^2=x^3-x^2-33216x+2341080\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
6240.w1	6240bc2	6240.w	6240bc	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 13 \)	\( 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$2.238830075$	$1$		$5$	$11520$	$1.239714$	$7916055336451592/385003125$	$0.99391$	$4.90300$	$[0, 1, 0, -33216, -2341080]$	\(y^2=x^3+x^2-33216x-2341080\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(-106, 6)]$
12480.bo1	12480cg2	12480.bo	12480cg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \)	\( 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$46080$	$1.586287$	$7916055336451592/385003125$	$0.99391$	$4.98362$	$[0, -1, 0, -132865, -18595775]$	\(y^2=x^3-x^2-132865x-18595775\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
12480.cr1	12480df2	12480.cr	12480df	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \)	\( 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.141350537$	$1$		$15$	$46080$	$1.586287$	$7916055336451592/385003125$	$0.99391$	$4.98362$	$[0, 1, 0, -132865, 18595775]$	\(y^2=x^3+x^2-132865x+18595775\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(215, 120)]$
18720.ba1	18720s2	18720.ba	18720s	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{9} \cdot 3^{12} \cdot 5^{5} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$2.490469064$	$1$		$3$	$92160$	$1.789019$	$7916055336451592/385003125$	$0.99391$	$5.02551$	$[0, 0, 0, -298947, -62910214]$	\(y^2=x^3-298947x-62910214\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(982, 24300)]$
18720.bp1	18720r2	18720.bp	18720r	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{9} \cdot 3^{12} \cdot 5^{5} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.535929291$	$1$		$7$	$92160$	$1.789019$	$7916055336451592/385003125$	$0.99391$	$5.02551$	$[0, 0, 0, -298947, 62910214]$	\(y^2=x^3-298947x+62910214\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(233, 2430)]$
31200.e1	31200g2	31200.e	31200g	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{6} \cdot 5^{11} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$276480$	$2.044434$	$7916055336451592/385003125$	$0.99391$	$5.07361$	$[0, -1, 0, -830408, -290974188]$	\(y^2=x^3-x^2-830408x-290974188\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
31200.cg1	31200v2	31200.cg	31200v	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{6} \cdot 5^{11} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.521659440$	$1$		$3$	$276480$	$2.044434$	$7916055336451592/385003125$	$0.99391$	$5.07361$	$[0, 1, 0, -830408, 290974188]$	\(y^2=x^3+x^2-830408x+290974188\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(2863, 146250)]$
37440.s1	37440ek2	37440.s	37440ek	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{15} \cdot 3^{12} \cdot 5^{5} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$368640$	$2.135593$	$7916055336451592/385003125$	$0.99391$	$5.08965$	$[0, 0, 0, -1195788, -503281712]$	\(y^2=x^3-1195788x-503281712\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
37440.cg1	37440ei2	37440.cg	37440ei	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \)	\( 2^{15} \cdot 3^{12} \cdot 5^{5} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$368640$	$2.135593$	$7916055336451592/385003125$	$0.99391$	$5.08965$	$[0, 0, 0, -1195788, 503281712]$	\(y^2=x^3-1195788x+503281712\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
62400.do1	62400ef2	62400.do	62400ef	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{15} \cdot 3^{6} \cdot 5^{11} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$1105920$	$2.391006$	$7916055336451592/385003125$	$0.99391$	$5.13177$	$[0, -1, 0, -3321633, 2331115137]$	\(y^2=x^3-x^2-3321633x+2331115137\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
62400.ep1	62400gl2	62400.ep	62400gl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \)	\( 2^{15} \cdot 3^{6} \cdot 5^{11} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$2.758837746$	$1$		$5$	$1105920$	$2.391006$	$7916055336451592/385003125$	$0.99391$	$5.13177$	$[0, 1, 0, -3321633, -2331115137]$	\(y^2=x^3+x^2-3321633x-2331115137\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(-1053, 312)]$
81120.y1	81120k2	81120.y	81120k	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$1935360$	$2.522186$	$7916055336451592/385003125$	$0.99391$	$5.15192$	$[0, -1, 0, -5613560, 5120898600]$	\(y^2=x^3-x^2-5613560x+5120898600\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
81120.bt1	81120w2	81120.bt	81120w	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.407150524$	$1$		$7$	$1935360$	$2.522186$	$7916055336451592/385003125$	$0.99391$	$5.15192$	$[0, 1, 0, -5613560, -5120898600]$	\(y^2=x^3+x^2-5613560x-5120898600\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(-1370, 450)]$
93600.bo1	93600eg2	93600.bo	93600eg	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{12} \cdot 5^{11} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$2211840$	$2.593739$	$7916055336451592/385003125$	$0.99391$	$5.16252$	$[0, 0, 0, -7473675, 7863776750]$	\(y^2=x^3-7473675x+7863776750\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
93600.dp1	93600eb2	93600.dp	93600eb	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{12} \cdot 5^{11} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$9$	$3$	$1$	$2211840$	$2.593739$	$7916055336451592/385003125$	$0.99391$	$5.16252$	$[0, 0, 0, -7473675, -7863776750]$	\(y^2=x^3-7473675x-7863776750\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
162240.k1	162240dl2	162240.k	162240dl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$7741440$	$2.868763$	$7916055336451592/385003125$	$0.99391$	$5.20092$	$[0, -1, 0, -22454241, -40944734559]$	\(y^2=x^3-x^2-22454241x-40944734559\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
162240.fv1	162240bs2	162240.fv	162240bs	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$4.517615976$	$1$		$3$	$7741440$	$2.868763$	$7916055336451592/385003125$	$0.99391$	$5.20092$	$[0, 1, 0, -22454241, 40944734559]$	\(y^2=x^3+x^2-22454241x+40944734559\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(810, 152607)]$
187200.ef1	187200di2	187200.ef	187200di	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{15} \cdot 3^{12} \cdot 5^{11} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$2.242642289$	$1$		$3$	$8847360$	$2.940311$	$7916055336451592/385003125$	$0.99391$	$5.21034$	$[0, 0, 0, -29894700, 62910214000]$	\(y^2=x^3-29894700x+62910214000\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(2180, 90000)]$
187200.mc1	187200fn2	187200.mc	187200fn	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \)	\( 2^{15} \cdot 3^{12} \cdot 5^{11} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$3.490907800$	$1$		$5$	$8847360$	$2.940311$	$7916055336451592/385003125$	$0.99391$	$5.21034$	$[0, 0, 0, -29894700, -62910214000]$	\(y^2=x^3-29894700x-62910214000\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(-3166, 1352)]$
243360.p1	243360p2	243360.p	243360p	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{9} \cdot 3^{12} \cdot 5^{5} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$5.173480159$	$1$		$3$	$15482880$	$3.071495$	$7916055336451592/385003125$	$0.99391$	$5.22704$	$[0, 0, 0, -50522043, 138213740158]$	\(y^2=x^3-50522043x+138213740158\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(113, 364014)]$
243360.ce1	243360ce2	243360.ce	243360ce	$2$	$2$	\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{9} \cdot 3^{12} \cdot 5^{5} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$34.44170824$	$1$		$1$	$15482880$	$3.071495$	$7916055336451592/385003125$	$0.99391$	$5.22704$	$[0, 0, 0, -50522043, -138213740158]$	\(y^2=x^3-50522043x-138213740158\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(9694262011453426/1041593, 397582179816439547887446/1041593)]$
305760.db1	305760db2	305760.db	305760db	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.945994735$	$1$		$7$	$4147200$	$2.212669$	$7916055336451592/385003125$	$0.99391$	$4.31663$	$[0, -1, 0, -1627600, 799735252]$	\(y^2=x^3-x^2-1627600x+799735252\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(684, 2450)]$
305760.gt1	305760gt2	305760.gt	305760gt	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 7^{6} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$4147200$	$2.212669$	$7916055336451592/385003125$	$0.99391$	$4.31663$	$[0, 1, 0, -1627600, -799735252]$	\(y^2=x^3+x^2-1627600x-799735252\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
405600.cw1	405600cw2	405600.cw	405600cw	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{9} \cdot 3^{6} \cdot 5^{11} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$4$	$2$	$1$	$46448640$	$3.326908$	$7916055336451592/385003125$	$0.99391$	$5.25762$	$[0, -1, 0, -140339008, -639831646988]$	\(y^2=x^3-x^2-140339008x-639831646988\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$
405600.ek1	405600ek2	405600.ek	405600ek	$2$	$2$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{9} \cdot 3^{6} \cdot 5^{11} \cdot 13^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$5.358258377$	$1$		$3$	$46448640$	$3.326908$	$7916055336451592/385003125$	$0.99391$	$5.25762$	$[0, 1, 0, -140339008, 639831646988]$	\(y^2=x^3+x^2-140339008x+639831646988\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(-5833, 1122498)]$
486720.ks1	486720ks2	486720.ks	486720ks	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{15} \cdot 3^{12} \cdot 5^{5} \cdot 13^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$3.913215712$	$1$		$13$	$61931520$	$3.418068$	$7916055336451592/385003125$	$0.99391$	$5.26796$	$[0, 0, 0, -202088172, 1105709921264]$	\(y^2=x^3-202088172x+1105709921264\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[(8008, 30420), (10868, 439400)]$
486720.oq1	486720oq2	486720.oq	486720oq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{15} \cdot 3^{12} \cdot 5^{5} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$61931520$	$3.418068$	$7916055336451592/385003125$	$0.99391$	$5.26796$	$[0, 0, 0, -202088172, -1105709921264]$	\(y^2=x^3-202088172x-1105709921264\)	2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?	$[]$