Elliptic curve search results

Results (18 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
7406.b1	7406a2	7406.b	7406a	$2$	$2$	\( 2 \cdot 7 \cdot 23^{2} \)	\( 2^{2} \cdot 7^{4} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$1$	$1$		$0$	$52992$	$1.932816$	$926859375/9604$	$1.05169$	$5.48446$	$[1, -1, 0, -247142, 46926408]$	\(y^2+xy=x^3-x^2-247142x+46926408\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[]$
7406.c1	7406e2	7406.c	7406e	$2$	$2$	\( 2 \cdot 7 \cdot 23^{2} \)	\( 2^{2} \cdot 7^{4} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$0.691373751$	$1$		$6$	$2304$	$0.365068$	$926859375/9604$	$1.05169$	$3.37302$	$[1, -1, 0, -467, -3735]$	\(y^2+xy=x^3-x^2-467x-3735\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[(29, 66)]$
51842.f1	51842b2	51842.f	51842b	$2$	$2$	\( 2 \cdot 7^{2} \cdot 23^{2} \)	\( 2^{2} \cdot 7^{10} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$1.064217132$	$1$		$6$	$110592$	$1.338022$	$926859375/9604$	$1.05169$	$3.84390$	$[1, -1, 0, -22892, 1326884]$	\(y^2+xy=x^3-x^2-22892x+1326884\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[(-5, 1203)]$
51842.g1	51842a2	51842.g	51842a	$2$	$2$	\( 2 \cdot 7^{2} \cdot 23^{2} \)	\( 2^{2} \cdot 7^{10} \cdot 23^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$14.61722541$	$1$		$0$	$2543616$	$2.905769$	$926859375/9604$	$1.05169$	$5.57687$	$[1, -1, 0, -12109967, -16071538015]$	\(y^2+xy=x^3-x^2-12109967x-16071538015\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[(-22380287/107, 15077757610/107)]$
59248.r1	59248r2	59248.r	59248r	$2$	$2$	\( 2^{4} \cdot 7 \cdot 23^{2} \)	\( 2^{14} \cdot 7^{4} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$2.903232975$	$1$		$3$	$55296$	$1.058214$	$926859375/9604$	$1.05169$	$3.49166$	$[0, 0, 0, -7475, 246514]$	\(y^2=x^3-7475x+246514\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[(55, 42)]$
59248.s1	59248w2	59248.s	59248w	$2$	$2$	\( 2^{4} \cdot 7 \cdot 23^{2} \)	\( 2^{14} \cdot 7^{4} \cdot 23^{9} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$22.75610304$	$1$		$5$	$1271808$	$2.625961$	$926859375/9604$	$1.05169$	$5.20357$	$[0, 0, 0, -3954275, -2999335838]$	\(y^2=x^3-3954275x-2999335838\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[(-1233, 1330), (-1086, 3766)]$
66654.bo1	66654bk2	66654.bo	66654bk	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 7^{4} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$1$	$4$	$2$	$0$	$1695744$	$2.482121$	$926859375/9604$	$1.05169$	$4.99298$	$[1, -1, 1, -2224280, -1264788737]$	\(y^2+xy+y=x^3-x^2-2224280x-1264788737\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[]$
66654.bt1	66654bw2	66654.bt	66654bw	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 7^{4} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$1.269584372$	$1$		$4$	$73728$	$0.914374$	$926859375/9604$	$1.05169$	$3.29923$	$[1, -1, 1, -4205, 105049]$	\(y^2+xy+y=x^3-x^2-4205x+105049\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[(47, 74)]$
185150.bq1	185150r2	185150.bq	185150r	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( 2^{2} \cdot 5^{6} \cdot 7^{4} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$4.884646551$	$1$		$2$	$331776$	$1.169786$	$926859375/9604$	$1.05169$	$3.27403$	$[1, -1, 1, -11680, -478553]$	\(y^2+xy+y=x^3-x^2-11680x-478553\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[(125, -9)]$
185150.cb1	185150q2	185150.cb	185150q	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \)	\( 2^{2} \cdot 5^{6} \cdot 7^{4} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$1$	$4$	$2$	$0$	$7630848$	$2.737534$	$926859375/9604$	$1.05169$	$4.82511$	$[1, -1, 1, -6178555, 5859622447]$	\(y^2+xy+y=x^3-x^2-6178555x+5859622447\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[]$
236992.bh1	236992bh2	236992.bh	236992bh	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23^{2} \)	\( 2^{20} \cdot 7^{4} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$1$	$1$		$1$	$10174464$	$2.972534$	$926859375/9604$	$1.05169$	$4.95673$	$[0, 0, 0, -15817100, 23994686704]$	\(y^2=x^3-15817100x+23994686704\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[]$
236992.bi1	236992bi2	236992.bi	236992bi	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23^{2} \)	\( 2^{20} \cdot 7^{4} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$3.895817973$	$1$		$3$	$442368$	$1.404789$	$926859375/9604$	$1.05169$	$3.43659$	$[0, 0, 0, -29900, 1972112]$	\(y^2=x^3-29900x+1972112\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[(128, 492)]$
236992.bj1	236992bj2	236992.bj	236992bj	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23^{2} \)	\( 2^{20} \cdot 7^{4} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$1$	$4$	$2$	$1$	$10174464$	$2.972534$	$926859375/9604$	$1.05169$	$4.95673$	$[0, 0, 0, -15817100, -23994686704]$	\(y^2=x^3-15817100x-23994686704\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[]$
236992.bk1	236992bk2	236992.bk	236992bk	$2$	$2$	\( 2^{6} \cdot 7 \cdot 23^{2} \)	\( 2^{20} \cdot 7^{4} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$2.759196643$	$1$		$5$	$442368$	$1.404789$	$926859375/9604$	$1.05169$	$3.43659$	$[0, 0, 0, -29900, -1972112]$	\(y^2=x^3-29900x-1972112\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[(-99, 133)]$
414736.bb1	414736bb2	414736.bb	414736bb	$2$	$2$	\( 2^{4} \cdot 7^{2} \cdot 23^{2} \)	\( 2^{14} \cdot 7^{10} \cdot 23^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$1$	$4$	$2$	$1$	$61046784$	$3.598919$	$926859375/9604$	$1.05169$	$5.32338$	$[0, 0, 0, -193759475, 1028772192434]$	\(y^2=x^3-193759475x+1028772192434\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[]$
414736.bd1	414736bd2	414736.bd	414736bd	$2$	$2$	\( 2^{4} \cdot 7^{2} \cdot 23^{2} \)	\( 2^{14} \cdot 7^{10} \cdot 23^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$1$	$4$	$2$	$1$	$2654208$	$2.031170$	$926859375/9604$	$1.05169$	$3.86900$	$[0, 0, 0, -366275, -84554302]$	\(y^2=x^3-366275x-84554302\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[]$
466578.en1	466578en2	466578.en	466578en	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 7^{10} \cdot 23^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$17.31629470$	$1$		$0$	$81395712$	$3.455074$	$926859375/9604$	$1.05169$	$5.14311$	$[1, -1, 1, -108989705, 434040516109]$	\(y^2+xy+y=x^3-x^2-108989705x+434040516109\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[(47387927/41, 305426124478/41)]$
466578.eu1	466578eu2	466578.eu	466578eu	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 7^{10} \cdot 23^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.11	2B	$1288$	$48$	$1$	$8.528657908$	$1$		$0$	$3538944$	$1.887329$	$926859375/9604$	$1.05169$	$3.70185$	$[1, -1, 1, -206030, -35619839]$	\(y^2+xy+y=x^3-x^2-206030x-35619839\)	2.3.0.a.1, 4.12.0.f.1, 56.24.0.dj.1, 92.24.0.?, 1288.48.1.?	$[(4801/3, 59251/3)]$