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
10830.i1	10830k2	10830.i	10830k	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$0$	$61440$	$1.324434$	$306331959547531/900000000$	$1.02107$	$4.54130$	$[1, 0, 1, -26684, -1675654]$	\(y^2+xy+y=x^3-26684x-1675654\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
10830.r1	10830s2	10830.r	10830s	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$0$	$1167360$	$2.796654$	$306331959547531/900000000$	$1.02107$	$6.44297$	$[1, 1, 1, -9632751, 11474043573]$	\(y^2+xy+y=x^3+x^2-9632751x+11474043573\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
32490.m1	32490t2	32490.m	32490t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.836559502$	$1$		$6$	$9338880$	$3.345963$	$306331959547531/900000000$	$1.02107$	$6.39612$	$[1, -1, 0, -86694759, -309885871235]$	\(y^2+xy=x^3-x^2-86694759x-309885871235\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-5314, 29657)]$
32490.bo1	32490bu2	32490.bo	32490bu	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$0.202316955$	$1$		$44$	$491520$	$1.873741$	$306331959547531/900000000$	$1.02107$	$4.69556$	$[1, -1, 1, -240152, 45242651]$	\(y^2+xy+y=x^3-x^2-240152x+45242651\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(81, 5089), (261, 409)]$
54150.bk1	54150t2	54150.bk	54150t	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 5^{14} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$4$	$2$	$0$	$28016640$	$3.601372$	$306331959547531/900000000$	$1.02107$	$6.37756$	$[1, 0, 1, -240818776, 1434737084198]$	\(y^2+xy+y=x^3-240818776x+1434737084198\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
54150.ch1	54150br2	54150.ch	54150br	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 5^{14} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$0$	$1474560$	$2.129154$	$306331959547531/900000000$	$1.02107$	$4.75669$	$[1, 1, 1, -667088, -209456719]$	\(y^2+xy+y=x^3+x^2-667088x-209456719\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
86640.w1	86640bu2	86640.w	86640bu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{20} \cdot 3^{2} \cdot 5^{8} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$1474560$	$2.017582$	$306331959547531/900000000$	$1.02107$	$4.44230$	$[0, -1, 0, -426936, 107241840]$	\(y^2=x^3-x^2-426936x+107241840\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
86640.db1	86640dd2	86640.db	86640dd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{20} \cdot 3^{2} \cdot 5^{8} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$52.37430436$	$1$		$1$	$28016640$	$3.489803$	$306331959547531/900000000$	$1.02107$	$5.99616$	$[0, 1, 0, -154124016, -734647036716]$	\(y^2=x^3+x^2-154124016x-734647036716\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-5740096945933135544961236/27895038549, 660235685405141671453559348734478750/27895038549)]$
162450.cf1	162450eg2	162450.cf	162450eg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{14} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$0$	$11796480$	$2.678459$	$306331959547531/900000000$	$1.02107$	$4.87054$	$[1, -1, 0, -6003792, 5649327616]$	\(y^2+xy=x^3-x^2-6003792x+5649327616\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
162450.et1	162450bs2	162450.et	162450bs	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 5^{14} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$9.170836005$	$1$		$2$	$224133120$	$4.150681$	$306331959547531/900000000$	$1.02107$	$6.34299$	$[1, -1, 1, -2167368980, -38737901273353]$	\(y^2+xy+y=x^3-x^2-2167368980x-38737901273353\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(64743, 9575821)]$
259920.gw1	259920gw2	259920.gw	259920gw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{20} \cdot 3^{8} \cdot 5^{8} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$11796480$	$2.566887$	$306331959547531/900000000$	$1.02107$	$4.57955$	$[0, 0, 0, -3842427, -2891687254]$	\(y^2=x^3-3842427x-2891687254\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
259920.gy1	259920gy2	259920.gy	259920gy	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{20} \cdot 3^{8} \cdot 5^{8} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$4$	$2$	$1$	$224133120$	$4.039108$	$306331959547531/900000000$	$1.02107$	$5.99650$	$[0, 0, 0, -1387116147, 19834082875186]$	\(y^2=x^3-1387116147x+19834082875186\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
346560.cx1	346560cx2	346560.cx	346560cx	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{26} \cdot 3^{2} \cdot 5^{8} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$11796480$	$2.364155$	$306331959547531/900000000$	$1.02107$	$4.28555$	$[0, -1, 0, -1707745, -856226975]$	\(y^2=x^3-x^2-1707745x-856226975\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
346560.fp1	346560fp2	346560.fp	346560fp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{26} \cdot 3^{2} \cdot 5^{8} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$10.92131800$	$1$		$1$	$224133120$	$3.836376$	$306331959547531/900000000$	$1.02107$	$5.67054$	$[0, -1, 0, -616496065, -5876559797663]$	\(y^2=x^3-x^2-616496065x-5876559797663\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(8401861/17, 4314723840/17)]$
346560.io1	346560io2	346560.io	346560io	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{26} \cdot 3^{2} \cdot 5^{8} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$6.915557619$	$1$		$3$	$224133120$	$3.836376$	$306331959547531/900000000$	$1.02107$	$5.67054$	$[0, 1, 0, -616496065, 5876559797663]$	\(y^2=x^3+x^2-616496065x+5876559797663\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(13706, 42255)]$
346560.lg1	346560lg2	346560.lg	346560lg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{26} \cdot 3^{2} \cdot 5^{8} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$11796480$	$2.364155$	$306331959547531/900000000$	$1.02107$	$4.28555$	$[0, 1, 0, -1707745, 856226975]$	\(y^2=x^3+x^2-1707745x+856226975\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
433200.g1	433200g2	433200.g	433200g	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{20} \cdot 3^{2} \cdot 5^{14} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$672399360$	$4.294518$	$306331959547531/900000000$	$1.02107$	$5.99663$	$[0, -1, 0, -3853100408, -91823173388688]$	\(y^2=x^3-x^2-3853100408x-91823173388688\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
433200.ft1	433200ft2	433200.ft	433200ft	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{20} \cdot 3^{2} \cdot 5^{14} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$5.137433337$	$1$		$3$	$35389440$	$2.822300$	$306331959547531/900000000$	$1.02107$	$4.63546$	$[0, 1, 0, -10673408, 13383883188]$	\(y^2=x^3+x^2-10673408x+13383883188\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(1423, 32850)]$