Elliptic curves over $\Q$ of conductor 2300

Results (12 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
2300.a1	2300g1	2300.a	2300g	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{8} \cdot 23^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.113968630$	$1$		$10$	$8640$	$1.290297$	$-2688885504/160908575$	$1.01469$	$5.01119$	$[0, 0, 0, -1825, 306625]$	\(y^2=x^3-1825x+306625\)	46.2.0.a.1	$[(-15, 575)]$
2300.b1	2300h2	2300.b	2300h	$2$	$3$	\( 2^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{8} \cdot 5^{4} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$276$	$16$	$0$	$2.640531856$	$1$		$2$	$1512$	$0.590712$	$941054800/12167$	$0.87865$	$4.21740$	$[0, 1, 0, -1108, -14412]$	\(y^2=x^3+x^2-1108x-14412\)	3.8.0-3.a.1.1, 92.2.0.?, 276.16.0.?	$[(-21, 6)]$
2300.b2	2300h1	2300.b	2300h	$2$	$3$	\( 2^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{8} \cdot 5^{4} \cdot 23 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$276$	$16$	$0$	$0.880177285$	$1$		$10$	$504$	$0.041406$	$878800/23$	$0.75084$	$3.31615$	$[0, 1, 0, -108, 388]$	\(y^2=x^3+x^2-108x+388\)	3.8.0-3.a.1.2, 92.2.0.?, 276.16.0.?	$[(4, 6)]$
2300.c1	2300e2	2300.c	2300e	$2$	$3$	\( 2^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{6} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$690$	$16$	$0$	$0.275285531$	$1$		$8$	$864$	$0.534756$	$-42592000/12167$	$0.87185$	$3.92700$	$[0, -1, 0, -458, -4463]$	\(y^2=x^3-x^2-458x-4463\)	3.4.0.a.1, 15.8.0-3.a.1.1, 46.2.0.a.1, 138.8.0.?, 690.16.0.?	$[(72, 575)]$
2300.c2	2300e1	2300.c	2300e	$2$	$3$	\( 2^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{6} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$690$	$16$	$0$	$0.825856594$	$1$		$2$	$288$	$-0.014550$	$32000/23$	$0.71982$	$2.94583$	$[0, -1, 0, 42, 37]$	\(y^2=x^3-x^2+42x+37\)	3.4.0.a.1, 15.8.0-3.a.1.2, 46.2.0.a.1, 138.8.0.?, 690.16.0.?	$[(7, 25)]$
2300.d1	2300a1	2300.d	2300a	$2$	$3$	\( 2^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{10} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$690$	$16$	$0$	$1$	$1$		$0$	$3456$	$1.038137$	$-687518464/7604375$	$0.91097$	$4.62223$	$[0, -1, 0, -1158, 68437]$	\(y^2=x^3-x^2-1158x+68437\)	3.4.0.a.1, 15.8.0-3.a.1.2, 46.2.0.a.1, 138.8.0.?, 690.16.0.?	$[]$
2300.d2	2300a2	2300.d	2300a	$2$	$3$	\( 2^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{18} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$690$	$16$	$0$	$1$	$1$		$0$	$10368$	$1.587444$	$489277573376/5615234375$	$1.14781$	$5.46219$	$[0, -1, 0, 10342, -1760063]$	\(y^2=x^3-x^2+10342x-1760063\)	3.4.0.a.1, 15.8.0-3.a.1.1, 46.2.0.a.1, 138.8.0.?, 690.16.0.?	$[]$
2300.e1	2300c1	2300.e	2300c	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.424057769$	$1$		$4$	$864$	$0.366649$	$-221184/115$	$0.84034$	$3.63659$	$[0, 0, 0, -200, -1500]$	\(y^2=x^3-200x-1500\)	230.2.0.?	$[(20, 50)]$
2300.f1	2300d1	2300.f	2300d	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1.001427943$	$1$		$2$	$576$	$0.313667$	$-7626496/575$	$0.74393$	$3.66878$	$[0, 1, 0, -258, 1613]$	\(y^2=x^3+x^2-258x+1613\)	46.2.0.a.1	$[(13, 25)]$
2300.g1	2300f2	2300.g	2300f	$2$	$3$	\( 2^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{8} \cdot 5^{10} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1380$	$16$	$0$	$1.219929149$	$1$		$2$	$7560$	$1.395432$	$941054800/12167$	$0.87865$	$5.46491$	$[0, -1, 0, -27708, -1746088]$	\(y^2=x^3-x^2-27708x-1746088\)	3.4.0.a.1, 15.8.0-3.a.1.1, 92.2.0.?, 276.8.0.?, 1380.16.0.?	$[(-94, 138)]$
2300.g2	2300f1	2300.g	2300f	$2$	$3$	\( 2^{2} \cdot 5^{2} \cdot 23 \)	\( 2^{8} \cdot 5^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1380$	$16$	$0$	$3.659787449$	$1$		$2$	$2520$	$0.846125$	$878800/23$	$0.75084$	$4.56367$	$[0, -1, 0, -2708, 53912]$	\(y^2=x^3-x^2-2708x+53912\)	3.4.0.a.1, 15.8.0-3.a.1.2, 92.2.0.?, 276.8.0.?, 1380.16.0.?	$[(13, 144)]$
2300.h1	2300b1	2300.h	2300b	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 23 \)	\( - 2^{4} \cdot 5^{6} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$768$	$-0.016694$	$-6912/23$	$0.66890$	$2.99455$	$[0, 0, 0, -25, 125]$	\(y^2=x^3-25x+125\)	46.2.0.a.1	$[]$