Elliptic curve search results

Results (18 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
3315.c1	3315f1	3315.c	3315f	$2$	$2$	\( 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 3^{4} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1.164824499$	$1$		$5$	$320$	$-0.313741$	$887503681/89505$	$0.91820$	$2.54174$	$[1, 0, 0, -20, -33]$	\(y^2+xy=x^3-20x-33\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(-3, 3)]$
9945.g1	9945e1	9945.g	9945e	$2$	$2$	\( 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 3^{10} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$8840$	$48$	$0$	$2.300622067$	$1$		$3$	$2560$	$0.235565$	$887503681/89505$	$0.91820$	$2.95449$	$[1, -1, 0, -180, 891]$	\(y^2+xy=x^3-x^2-180x+891\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(10, -1)]$
16575.h1	16575c1	16575.h	16575c	$2$	$2$	\( 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 3^{4} \cdot 5^{7} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$2.566695499$	$1$		$3$	$7680$	$0.490978$	$887503681/89505$	$0.91820$	$3.11462$	$[1, 1, 0, -500, -4125]$	\(y^2+xy=x^3+x^2-500x-4125\)	2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(26, 23)]$
43095.o1	43095k1	43095.o	43095k	$2$	$2$	\( 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 3^{4} \cdot 5 \cdot 13^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$53760$	$0.968734$	$887503681/89505$	$0.91820$	$3.37298$	$[1, 0, 1, -3384, -69119]$	\(y^2+xy+y=x^3-3384x-69119\)	2.3.0.a.1, 4.6.0.b.1, 312.12.0.?, 2040.12.0.?, 2210.6.0.?, $\ldots$	$[ ]$
49725.h1	49725m1	49725.h	49725m	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 3^{10} \cdot 5^{7} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$2.413841610$	$1$		$5$	$61440$	$1.040283$	$887503681/89505$	$0.91820$	$3.40774$	$[1, -1, 1, -4505, 106872]$	\(y^2+xy+y=x^3-x^2-4505x+106872\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.2, 1768.12.0.?, 2210.6.0.?, $\ldots$	$[(54, 110)]$
53040.bd1	53040br1	53040.bd	53040br	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1.768392277$	$1$		$5$	$20480$	$0.379406$	$887503681/89505$	$0.91820$	$2.65854$	$[0, -1, 0, -320, 2112]$	\(y^2=x^3-x^2-320x+2112\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(-8, 64)]$
56355.c1	56355a1	56355.c	56355a	$2$	$2$	\( 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 3^{4} \cdot 5 \cdot 13 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$2.869086176$	$1$		$5$	$92160$	$1.102865$	$887503681/89505$	$0.91820$	$3.43740$	$[1, 1, 1, -5786, -156346]$	\(y^2+xy+y=x^3+x^2-5786x-156346\)	2.3.0.a.1, 4.6.0.b.1, 408.12.0.?, 1560.12.0.?, 2210.6.0.?, $\ldots$	$[(-42, 142)]$
129285.h1	129285be1	129285.h	129285be	$2$	$2$	\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 3^{10} \cdot 5 \cdot 13^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$430080$	$1.518040$	$887503681/89505$	$0.91820$	$3.61819$	$[1, -1, 1, -30452, 1866206]$	\(y^2+xy+y=x^3-x^2-30452x+1866206\)	2.3.0.a.1, 4.6.0.b.1, 104.12.0.?, 680.12.0.?, 2210.6.0.?, $\ldots$	$[ ]$
159120.bq1	159120by1	159120.bq	159120by	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{10} \cdot 5 \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$163840$	$0.928712$	$887503681/89505$	$0.91820$	$2.96503$	$[0, 0, 0, -2883, -54142]$	\(y^2=x^3-2883x-54142\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[ ]$
162435.q1	162435y1	162435.q	162435y	$2$	$2$	\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{4} \cdot 5 \cdot 7^{6} \cdot 13 \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$185640$	$48$	$0$	$5.467008539$	$1$		$11$	$115200$	$0.659214$	$887503681/89505$	$0.91820$	$2.69039$	$[1, 1, 1, -981, 10338]$	\(y^2+xy+y=x^3+x^2-981x+10338\)	2.3.0.a.1, 4.6.0.b.1, 168.12.0.?, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(22, -7), (49, 263)]$
169065.bk1	169065z1	169065.bk	169065z	$2$	$2$	\( 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 3^{10} \cdot 5 \cdot 13 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$10.77690976$	$1$		$1$	$737280$	$1.652172$	$887503681/89505$	$0.91820$	$3.67127$	$[1, -1, 0, -52074, 4169263]$	\(y^2+xy=x^3-x^2-52074x+4169263\)	2.3.0.a.1, 4.6.0.b.1, 136.12.0.?, 520.12.0.?, 2210.6.0.?, $\ldots$	$[(45574/9, 8804665/9)]$
212160.o1	212160hf1	212160.o	212160hf	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$6.642058502$	$1$		$9$	$163840$	$0.725980$	$887503681/89505$	$0.91820$	$2.69713$	$[0, -1, 0, -1281, -15615]$	\(y^2=x^3-x^2-1281x-15615\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(-24, 27), (-16, 23)]$
212160.fi1	212160bt1	212160.fi	212160bt	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{18} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$163840$	$0.725980$	$887503681/89505$	$0.91820$	$2.69713$	$[0, 1, 0, -1281, 15615]$	\(y^2=x^3+x^2-1281x+15615\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[ ]$
215475.l1	215475t1	215475.l	215475t	$2$	$2$	\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 3^{4} \cdot 5^{7} \cdot 13^{7} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$12.07911567$	$1$		$9$	$1290240$	$1.773453$	$887503681/89505$	$0.91820$	$3.71727$	$[1, 1, 1, -84588, -8639844]$	\(y^2+xy+y=x^3+x^2-84588x-8639844\)	2.3.0.a.1, 4.6.0.b.1, 408.12.0.?, 1560.12.0.?, 2210.6.0.?, $\ldots$	$[(-150, 912), (775, 19412)]$
265200.eu1	265200eu1	265200.eu	265200eu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{12} \cdot 3^{4} \cdot 5^{7} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$0.727569518$	$1$		$9$	$491520$	$1.184124$	$887503681/89505$	$0.91820$	$3.08917$	$[0, 1, 0, -8008, 247988]$	\(y^2=x^3+x^2-8008x+247988\)	2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(68, 150)]$
281775.bv1	281775bv1	281775.bv	281775bv	$2$	$2$	\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	\( 3^{4} \cdot 5^{7} \cdot 13 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$11.01508105$	$1$		$1$	$2211840$	$1.907585$	$887503681/89505$	$0.91820$	$3.76606$	$[1, 0, 1, -144651, -19253927]$	\(y^2+xy+y=x^3-144651x-19253927\)	2.3.0.a.1, 4.6.0.b.1, 312.12.0.?, 2040.12.0.?, 2210.6.0.?, $\ldots$	$[(209017/21, 37863391/21)]$
401115.br1	401115br1	401115.br	401115br	$2$	$2$	\( 3 \cdot 5 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( 3^{4} \cdot 5 \cdot 11^{6} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$291720$	$48$	$0$	$1$	$1$		$1$	$460800$	$0.885206$	$887503681/89505$	$0.91820$	$2.71208$	$[1, 0, 1, -2423, 41501]$	\(y^2+xy+y=x^3-2423x+41501\)	2.3.0.a.1, 4.6.0.b.1, 264.12.0.?, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[ ]$
487305.dq1	487305dq1	487305.dq	487305dq	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 3^{10} \cdot 5 \cdot 7^{6} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$61880$	$48$	$0$	$11.50529440$	$1$		$1$	$921600$	$1.208521$	$887503681/89505$	$0.91820$	$2.96802$	$[1, -1, 0, -8829, -287960]$	\(y^2+xy=x^3-x^2-8829x-287960\)	2.3.0.a.1, 4.6.0.b.1, 56.12.0-4.b.1.2, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(96636/7, 29661962/7)]$

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