Elliptic curve search results

Results (16 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
7150.l2	7150m1	7150.l	7150m	$2$	$2$	\( 2 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 5^{3} \cdot 11^{5} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.311863122$	$1$		$3$	$25600$	$1.406942$	$1634150614962403/1177543068416$	$1.03364$	$4.49113$	$[1, 1, 0, 12270, -253900]$	\(y^2+xy=x^3+x^2+12270x-253900\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[(65, 875)]$
7150.p2	7150w1	7150.p	7150w	$2$	$2$	\( 2 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 5^{9} \cdot 11^{5} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.374934000$	$1$		$11$	$128000$	$2.211662$	$1634150614962403/1177543068416$	$1.03364$	$5.57922$	$[1, 0, 0, 306737, -32350983]$	\(y^2+xy=x^3+306737x-32350983\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[(206, 6189)]$
57200.f2	57200cd1	57200.f	57200cd	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{20} \cdot 5^{3} \cdot 11^{5} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$5.545126101$	$1$		$3$	$614400$	$2.100090$	$1634150614962403/1177543068416$	$1.03364$	$4.39790$	$[0, 1, 0, 196312, 16642228]$	\(y^2=x^3+x^2+196312x+16642228\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[(163, 7280)]$
57200.cc2	57200cg1	57200.cc	57200cg	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{20} \cdot 5^{9} \cdot 11^{5} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$4$	$2$	$1$	$3072000$	$2.904808$	$1634150614962403/1177543068416$	$1.03364$	$5.27944$	$[0, -1, 0, 4907792, 2070462912]$	\(y^2=x^3-x^2+4907792x+2070462912\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[ ]$
64350.bf2	64350cf1	64350.bf	64350cf	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 11^{5} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$3072000$	$2.760967$	$1634150614962403/1177543068416$	$1.03364$	$5.06738$	$[1, -1, 0, 2760633, 873476541]$	\(y^2+xy=x^3-x^2+2760633x+873476541\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[ ]$
64350.dp2	64350et1	64350.dp	64350et	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 11^{5} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$614400$	$1.956247$	$1634150614962403/1177543068416$	$1.03364$	$4.19522$	$[1, -1, 1, 110425, 6965727]$	\(y^2+xy+y=x^3-x^2+110425x+6965727\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[ ]$
78650.e2	78650be1	78650.e	78650be	$2$	$2$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{8} \cdot 5^{9} \cdot 11^{11} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$16.11495928$	$1$		$1$	$15360000$	$3.410610$	$1634150614962403/1177543068416$	$1.03364$	$5.66873$	$[1, 0, 1, 37115174, 43096273548]$	\(y^2+xy+y=x^3+37115174x+43096273548\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[(493402461/89, 10991114152873/89)]$
78650.de2	78650di1	78650.de	78650di	$2$	$2$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{8} \cdot 5^{3} \cdot 11^{11} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$4.238835096$	$1$		$3$	$3072000$	$2.605888$	$1634150614962403/1177543068416$	$1.03364$	$4.81209$	$[1, 1, 1, 1484607, 345364031]$	\(y^2+xy+y=x^3+x^2+1484607x+345364031\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[(711, 41608)]$
92950.f2	92950bf1	92950.f	92950bf	$2$	$2$	\( 2 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{8} \cdot 5^{9} \cdot 11^{5} \cdot 13^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$21504000$	$3.494137$	$1634150614962403/1177543068416$	$1.03364$	$5.67356$	$[1, 0, 1, 51838549, -71126948202]$	\(y^2+xy+y=x^3+51838549x-71126948202\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[ ]$
92950.cv2	92950cq1	92950.cv	92950cq	$2$	$2$	\( 2 \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{8} \cdot 5^{3} \cdot 11^{5} \cdot 13^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$10.48545604$	$1$		$1$	$4300800$	$2.689415$	$1634150614962403/1177543068416$	$1.03364$	$4.82944$	$[1, 1, 1, 2073542, -568186169]$	\(y^2+xy+y=x^3+x^2+2073542x-568186169\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[(224659/23, 237455065/23)]$
228800.r2	228800dr1	228800.r	228800dr	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{26} \cdot 5^{3} \cdot 11^{5} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$4.969749790$	$1$		$3$	$4915200$	$2.446663$	$1634150614962403/1177543068416$	$1.03364$	$4.24087$	$[0, 1, 0, 785247, -132352577]$	\(y^2=x^3+x^2+785247x-132352577\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[(1437, 62972)]$
228800.t2	228800e1	228800.t	228800e	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{26} \cdot 5^{9} \cdot 11^{5} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$24576000$	$3.251381$	$1634150614962403/1177543068416$	$1.03364$	$5.02338$	$[0, 1, 0, 19631167, 16583334463]$	\(y^2=x^3+x^2+19631167x+16583334463\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[ ]$
228800.fq2	228800fu1	228800.fq	228800fu	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{26} \cdot 5^{9} \cdot 11^{5} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$25$	$5$	$1$	$24576000$	$3.251381$	$1634150614962403/1177543068416$	$1.03364$	$5.02338$	$[0, -1, 0, 19631167, -16583334463]$	\(y^2=x^3-x^2+19631167x-16583334463\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[ ]$
228800.fw2	228800da1	228800.fw	228800da	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{26} \cdot 5^{3} \cdot 11^{5} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.386786463$	$1$		$3$	$4915200$	$2.446663$	$1634150614962403/1177543068416$	$1.03364$	$4.24087$	$[0, -1, 0, 785247, 132352577]$	\(y^2=x^3-x^2+785247x+132352577\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[(71, 13728)]$
350350.w2	350350w1	350350.w	350350w	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{6} \cdot 11^{5} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.332253805$	$1$		$11$	$9830400$	$2.379898$	$1634150614962403/1177543068416$	$1.03364$	$4.03657$	$[1, 0, 1, 601204, 88891338]$	\(y^2+xy+y=x^3+601204x+88891338\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[(312, 17361)]$
350350.gu2	350350gu1	350350.gu	350350gu	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( - 2^{8} \cdot 5^{9} \cdot 7^{6} \cdot 11^{5} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.034714910$	$1$		$3$	$49152000$	$3.184616$	$1634150614962403/1177543068416$	$1.03364$	$4.79297$	$[1, 1, 1, 15030112, 11111417281]$	\(y^2+xy+y=x^3+x^2+15030112x+11111417281\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.?	$[(20579, 2995713)]$

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