Elliptic curve search results

Results (19 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
5928.d1	5928j1	5928.d	5928j	$2$	$2$	\( 2^{3} \cdot 3 \cdot 13 \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 13 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$4480$	$0.661318$	$22559008000000/277116957$	$0.99646$	$3.85841$	$[0, -1, 0, -1483, -21260]$	\(y^2=x^3-x^2-1483x-21260\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
11856.bd1	11856l1	11856.bd	11856l	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13 \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 13 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.756955836$	$1$		$5$	$8960$	$0.661318$	$22559008000000/277116957$	$0.99646$	$3.57331$	$[0, 1, 0, -1483, 21260]$	\(y^2=x^3+x^2-1483x+21260\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(56, 342)]$
17784.m1	17784c1	17784.m	17784c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( 2^{4} \cdot 3^{16} \cdot 13 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$35840$	$1.210625$	$22559008000000/277116957$	$0.99646$	$4.09883$	$[0, 0, 0, -13350, 587369]$	\(y^2=x^3-13350x+587369\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
35568.y1	35568l1	35568.y	35568l	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( 2^{4} \cdot 3^{16} \cdot 13 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$3.833818847$	$1$		$3$	$71680$	$1.210625$	$22559008000000/277116957$	$0.99646$	$3.82772$	$[0, 0, 0, -13350, -587369]$	\(y^2=x^3-13350x-587369\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(135, 266)]$
47424.p1	47424ci1	47424.p	47424ci	$2$	$2$	\( 2^{6} \cdot 3 \cdot 13 \cdot 19 \)	\( 2^{10} \cdot 3^{10} \cdot 13 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.427411616$	$1$		$5$	$71680$	$1.007893$	$22559008000000/277116957$	$0.99646$	$3.49949$	$[0, -1, 0, -5933, 176013]$	\(y^2=x^3-x^2-5933x+176013\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(37, 76)]$
47424.cv1	47424by1	47424.cv	47424by	$2$	$2$	\( 2^{6} \cdot 3 \cdot 13 \cdot 19 \)	\( 2^{10} \cdot 3^{10} \cdot 13 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$71680$	$1.007893$	$22559008000000/277116957$	$0.99646$	$3.49949$	$[0, 1, 0, -5933, -176013]$	\(y^2=x^3+x^2-5933x-176013\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
77064.f1	77064f1	77064.f	77064f	$2$	$2$	\( 2^{3} \cdot 3 \cdot 13^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 13^{7} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$752640$	$1.943792$	$22559008000000/277116957$	$0.99646$	$4.34658$	$[0, -1, 0, -250683, -47710872]$	\(y^2=x^3-x^2-250683x-47710872\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
112632.v1	112632i1	112632.v	112632i	$2$	$2$	\( 2^{3} \cdot 3 \cdot 13 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{10} \cdot 13 \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1612800$	$2.133537$	$22559008000000/277116957$	$0.99646$	$4.40052$	$[0, 1, 0, -535483, 149034986]$	\(y^2=x^3+x^2-535483x+149034986\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
142272.cy1	142272bc1	142272.cy	142272bc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( 2^{10} \cdot 3^{16} \cdot 13 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$573440$	$1.557198$	$22559008000000/277116957$	$0.99646$	$3.73101$	$[0, 0, 0, -53400, -4698952]$	\(y^2=x^3-53400x-4698952\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
142272.dx1	142272eq1	142272.dx	142272eq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( 2^{10} \cdot 3^{16} \cdot 13 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$573440$	$1.557198$	$22559008000000/277116957$	$0.99646$	$3.73101$	$[0, 0, 0, -53400, 4698952]$	\(y^2=x^3-53400x+4698952\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
148200.bk1	148200bn1	148200.bk	148200bn	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 13 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.793055686$	$1$		$7$	$645120$	$1.466038$	$22559008000000/277116957$	$0.99646$	$3.62634$	$[0, 1, 0, -37083, -2731662]$	\(y^2=x^3+x^2-37083x-2731662\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(-111, 171)]$
154128.cu1	154128ct1	154128.cu	154128ct	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 13^{7} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1505280$	$1.943792$	$22559008000000/277116957$	$0.99646$	$4.09437$	$[0, 1, 0, -250683, 47710872]$	\(y^2=x^3+x^2-250683x+47710872\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
225264.q1	225264cn1	225264.q	225264cn	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{10} \cdot 13 \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$36.76307350$	$1$		$1$	$3225600$	$2.133537$	$22559008000000/277116957$	$0.99646$	$4.15304$	$[0, -1, 0, -535483, -149034986]$	\(y^2=x^3-x^2-535483x-149034986\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(175540262353598546/601325, 73546866423616312284428094/601325)]$
231192.r1	231192r1	231192.r	231192r	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{16} \cdot 13^{7} \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$6.145223597$	$1$		$13$	$6021120$	$2.493099$	$22559008000000/277116957$	$0.99646$	$4.49365$	$[0, 0, 0, -2256150, 1290449693]$	\(y^2=x^3-2256150x+1290449693\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(962, 3211), (286, 25857)]$
290472.bw1	290472bw1	290472.bw	290472bw	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 7^{6} \cdot 13 \cdot 19^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.640455264$	$1$		$15$	$1290240$	$1.634274$	$22559008000000/277116957$	$0.99646$	$3.59283$	$[0, 1, 0, -72683, 7437534]$	\(y^2=x^3+x^2-72683x+7437534\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(-5, 2793), (115, 783)]$
296400.dr1	296400dr1	296400.dr	296400dr	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 19 \)	\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 13 \cdot 19^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$7.694890197$	$1$		$1$	$1290240$	$1.466038$	$22559008000000/277116957$	$0.99646$	$3.42684$	$[0, -1, 0, -37083, 2731662]$	\(y^2=x^3-x^2-37083x+2731662\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(10474/7, 729714/7)]$
337896.bh1	337896bh1	337896.bh	337896bh	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{16} \cdot 13 \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$28.12430502$	$1$		$1$	$12902400$	$2.682842$	$22559008000000/277116957$	$0.99646$	$4.53856$	$[0, 0, 0, -4819350, -4028763971]$	\(y^2=x^3-4819350x-4028763971\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[(43962506381194/5775, 291489599755214690003/5775)]$
444600.m1	444600m1	444600.m	444600m	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 19 \)	\( 2^{4} \cdot 3^{16} \cdot 5^{6} \cdot 13 \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$5160960$	$2.015343$	$22559008000000/277116957$	$0.99646$	$3.82686$	$[0, 0, 0, -333750, 73421125]$	\(y^2=x^3-333750x+73421125\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
462384.dm1	462384dm1	462384.dm	462384dm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{16} \cdot 13^{7} \cdot 19^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$9$	$3$	$1$	$12042240$	$2.493099$	$22559008000000/277116957$	$0.99646$	$4.25487$	$[0, 0, 0, -2256150, -1290449693]$	\(y^2=x^3-2256150x-1290449693\)	2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.?	$[ ]$

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