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
1006.a1	1006b2	1006.a	1006b	$2$	$2$	\( 2 \cdot 503 \)	\( 2^{3} \cdot 503^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$4024$	$12$	$0$	$1$	$1$		$0$	$126$	$-0.099277$	$3687953625/2024072$	$0.91410$	$3.18617$	$[1, -1, 0, -32, 24]$	\(y^2+xy=x^3-x^2-32x+24\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[]$
8048.f1	8048d2	8048.f	8048d	$2$	$2$	\( 2^{4} \cdot 503 \)	\( 2^{15} \cdot 503^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$1$	$1$		$1$	$3024$	$0.593870$	$3687953625/2024072$	$0.91410$	$3.37435$	$[0, 0, 0, -515, -1022]$	\(y^2=x^3-515x-1022\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[]$
9054.r1	9054r2	9054.r	9054r	$2$	$2$	\( 2 \cdot 3^{2} \cdot 503 \)	\( 2^{3} \cdot 3^{6} \cdot 503^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$1.719862094$	$1$		$2$	$4032$	$0.450029$	$3687953625/2024072$	$0.91410$	$3.14127$	$[1, -1, 1, -290, -359]$	\(y^2+xy+y=x^3-x^2-290x-359\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[(19, 17)]$
25150.m1	25150k2	25150.m	25150k	$2$	$2$	\( 2 \cdot 5^{2} \cdot 503 \)	\( 2^{3} \cdot 5^{6} \cdot 503^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$1$	$1$		$0$	$18144$	$0.705441$	$3687953625/2024072$	$0.91410$	$3.12703$	$[1, -1, 1, -805, 2197]$	\(y^2+xy+y=x^3-x^2-805x+2197\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[]$
32192.o1	32192f2	32192.o	32192f	$2$	$2$	\( 2^{6} \cdot 503 \)	\( 2^{21} \cdot 503^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$1$	$1$		$1$	$24192$	$0.940443$	$3687953625/2024072$	$0.91410$	$3.32435$	$[0, 0, 0, -2060, 8176]$	\(y^2=x^3-2060x+8176\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[]$
32192.p1	32192p2	32192.p	32192p	$2$	$2$	\( 2^{6} \cdot 503 \)	\( 2^{21} \cdot 503^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$1$	$1$		$1$	$24192$	$0.940443$	$3687953625/2024072$	$0.91410$	$3.32435$	$[0, 0, 0, -2060, -8176]$	\(y^2=x^3-2060x-8176\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[]$
49294.b1	49294a2	49294.b	49294a	$2$	$2$	\( 2 \cdot 7^{2} \cdot 503 \)	\( 2^{3} \cdot 7^{6} \cdot 503^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$1$	$1$		$0$	$48384$	$0.873677$	$3687953625/2024072$	$0.91410$	$3.11912$	$[1, -1, 0, -1577, -5083]$	\(y^2+xy=x^3-x^2-1577x-5083\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[]$
72432.v1	72432bo2	72432.v	72432bo	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 503 \)	\( 2^{15} \cdot 3^{6} \cdot 503^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$1$	$1$		$1$	$96768$	$1.143175$	$3687953625/2024072$	$0.91410$	$3.30084$	$[0, 0, 0, -4635, 27594]$	\(y^2=x^3-4635x+27594\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[]$
121726.g1	121726f2	121726.g	121726f	$2$	$2$	\( 2 \cdot 11^{2} \cdot 503 \)	\( 2^{3} \cdot 11^{6} \cdot 503^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$5.404157156$	$1$		$0$	$161280$	$1.099670$	$3687953625/2024072$	$0.91410$	$3.10992$	$[1, -1, 1, -3895, -20281]$	\(y^2+xy+y=x^3-x^2-3895x-20281\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[(3613/3, 208858/3)]$
170014.h1	170014b2	170014.h	170014b	$2$	$2$	\( 2 \cdot 13^{2} \cdot 503 \)	\( 2^{3} \cdot 13^{6} \cdot 503^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$4.752792993$	$1$		$0$	$290304$	$1.183197$	$3687953625/2024072$	$0.91410$	$3.10687$	$[1, -1, 1, -5440, 36443]$	\(y^2+xy+y=x^3-x^2-5440x+36443\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[(2131/3, 90247/3)]$
201200.r1	201200j2	201200.r	201200j	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 503 \)	\( 2^{15} \cdot 5^{6} \cdot 503^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$2.817193793$	$1$		$5$	$435456$	$1.398588$	$3687953625/2024072$	$0.91410$	$3.27568$	$[0, 0, 0, -12875, -127750]$	\(y^2=x^3-12875x-127750\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[(-11, 112)]$
226350.j1	226350br2	226350.j	226350br	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 503 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{6} \cdot 503^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$3.858007652$	$1$		$2$	$580608$	$1.254747$	$3687953625/2024072$	$0.91410$	$3.10439$	$[1, -1, 0, -7242, -52084]$	\(y^2+xy=x^3-x^2-7242x-52084\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[(103, 484)]$
289728.cn1	289728cn2	289728.cn	289728cn	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 503 \)	\( 2^{21} \cdot 3^{6} \cdot 503^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$7.783218587$	$1$		$9$	$774144$	$1.489750$	$3687953625/2024072$	$0.91410$	$3.26768$	$[0, 0, 0, -18540, 220752]$	\(y^2=x^3-18540x+220752\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[(-6, 576), (1533, 59787)]$
289728.cs1	289728cs2	289728.cs	289728cs	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 503 \)	\( 2^{21} \cdot 3^{6} \cdot 503^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$1$	$1$		$1$	$774144$	$1.489750$	$3687953625/2024072$	$0.91410$	$3.26768$	$[0, 0, 0, -18540, -220752]$	\(y^2=x^3-18540x-220752\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[]$
290734.d1	290734d2	290734.d	290734d	$2$	$2$	\( 2 \cdot 17^{2} \cdot 503 \)	\( 2^{3} \cdot 17^{6} \cdot 503^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$2.179713362$	$1$		$2$	$645120$	$1.317329$	$3687953625/2024072$	$0.91410$	$3.10231$	$[1, -1, 0, -9302, 80780]$	\(y^2+xy=x^3-x^2-9302x+80780\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[(115, 665)]$
363166.k1	363166k2	363166.k	363166k	$2$	$2$	\( 2 \cdot 19^{2} \cdot 503 \)	\( 2^{3} \cdot 19^{6} \cdot 503^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$1$	$1$		$0$	$898128$	$1.372942$	$3687953625/2024072$	$0.91410$	$3.10054$	$[1, -1, 1, -11620, -106625]$	\(y^2+xy+y=x^3-x^2-11620x-106625\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[]$
394352.m1	394352m2	394352.m	394352m	$2$	$2$	\( 2^{4} \cdot 7^{2} \cdot 503 \)	\( 2^{15} \cdot 7^{6} \cdot 503^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$7.899476127$	$1$		$7$	$1161216$	$1.566824$	$3687953625/2024072$	$0.91410$	$3.26128$	$[0, 0, 0, -25235, 350546]$	\(y^2=x^3-25235x+350546\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[(-161, 490), (-98, 1372)]$
443646.bh1	443646bh2	443646.bh	443646bh	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 503 \)	\( 2^{3} \cdot 3^{6} \cdot 7^{6} \cdot 503^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$4024$	$12$	$0$	$1.593099070$	$1$		$6$	$1548288$	$1.422983$	$3687953625/2024072$	$0.91410$	$3.09899$	$[1, -1, 1, -14195, 151435]$	\(y^2+xy+y=x^3-x^2-14195x+151435\)	2.3.0.a.1, 8.6.0.b.1, 2012.6.0.?, 4024.12.0.?	$[(121, 380)]$