Elliptic curves over $\Q$ of conductor 2034

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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	Manin constant
2034.a1	2034d3	2034.a	2034d	$4$	$4$	\( 2 \cdot 3^{2} \cdot 113 \)	\( 2 \cdot 3^{22} \cdot 113 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$2712$	$48$	$0$	$1$	$1$		$0$	$5120$	$1.235548$	$267301555199713/9728558946$	$0.97219$	$5.22609$	$[1, -1, 0, -12078, 497610]$	\(y^2+xy=x^3-x^2-12078x+497610\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.7, 904.24.0.?, $\ldots$	$[ ]$	$1$
2034.a2	2034d2	2034.a	2034d	$4$	$4$	\( 2 \cdot 3^{2} \cdot 113 \)	\( 2^{2} \cdot 3^{14} \cdot 113^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.4	2Cs	$2712$	$48$	$0$	$1$	$1$		$2$	$2560$	$0.888974$	$1054045415233/335109636$	$1.01612$	$4.49940$	$[1, -1, 0, -1908, -21060]$	\(y^2+xy=x^3-x^2-1908x-21060\)	2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 452.12.0.?, $\ldots$	$[ ]$	$1$
2034.a3	2034d1	2034.a	2034d	$4$	$4$	\( 2 \cdot 3^{2} \cdot 113 \)	\( 2^{4} \cdot 3^{10} \cdot 113 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.11	2B	$2712$	$48$	$0$	$1$	$1$		$1$	$1280$	$0.542400$	$783012621313/146448$	$0.93338$	$4.46038$	$[1, -1, 0, -1728, -27216]$	\(y^2+xy=x^3-x^2-1728x-27216\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.8, $\ldots$	$[ ]$	$1$
2034.a4	2034d4	2034.a	2034d	$4$	$4$	\( 2 \cdot 3^{2} \cdot 113 \)	\( - 2 \cdot 3^{10} \cdot 113^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.16	2B	$2712$	$48$	$0$	$1$	$1$		$0$	$5120$	$1.235548$	$23647316984927/26413672482$	$1.04149$	$4.90773$	$[1, -1, 0, 5382, -147906]$	\(y^2+xy=x^3-x^2+5382x-147906\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$	$[ ]$	$1$
2034.b1	2034b1	2034.b	2034b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 113 \)	\( 2^{14} \cdot 3^{10} \cdot 113 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$904$	$12$	$0$	$1$	$1$		$1$	$1792$	$0.815187$	$358667682625/149962752$	$1.01923$	$4.35789$	$[1, -1, 0, -1332, 10192]$	\(y^2+xy=x^3-x^2-1332x+10192\)	2.3.0.a.1, 8.6.0.d.1, 226.6.0.?, 904.12.0.?	$[ ]$	$1$
2034.b2	2034b2	2034.b	2034b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 113 \)	\( - 2^{7} \cdot 3^{14} \cdot 113^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$904$	$12$	$0$	$1$	$1$		$0$	$3584$	$1.161760$	$13169335133375/10723508352$	$0.97781$	$4.83089$	$[1, -1, 0, 4428, 71248]$	\(y^2+xy=x^3-x^2+4428x+71248\)	2.3.0.a.1, 8.6.0.a.1, 452.6.0.?, 904.12.0.?	$[ ]$	$1$
2034.c1	2034a1	2034.c	2034a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 113 \)	\( - 2^{24} \cdot 3^{3} \cdot 113 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$678$	$2$	$0$	$1.151276939$	$1$		$4$	$1920$	$0.735531$	$-75526045083/1895825408$	$1.00397$	$4.21860$	$[1, -1, 0, -264, -10944]$	\(y^2+xy=x^3-x^2-264x-10944\)	678.2.0.?	$[(336, 5976)]$	$1$
2034.d1	2034c2	2034.d	2034c	$2$	$7$	\( 2 \cdot 3^{2} \cdot 113 \)	\( - 2^{2} \cdot 3^{7} \cdot 113^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$4746$	$96$	$2$	$1$	$1$		$0$	$28224$	$2.193752$	$-39934705050538129/2823126576537804$	$1.05538$	$6.51519$	$[1, -1, 0, -64089, 69319881]$	\(y^2+xy=x^3-x^2-64089x+69319881\)	7.24.0.a.2, 21.48.0-7.a.2.2, 678.2.0.?, 1582.48.0.?, 4746.96.2.?	$[ ]$	$1$
2034.d2	2034c1	2034.d	2034c	$2$	$7$	\( 2 \cdot 3^{2} \cdot 113 \)	\( - 2^{14} \cdot 3^{13} \cdot 113 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$4746$	$96$	$2$	$1$	$1$		$0$	$4032$	$1.220798$	$-506814405937489/4048994304$	$0.97498$	$5.31187$	$[1, -1, 0, -14949, -704619]$	\(y^2+xy=x^3-x^2-14949x-704619\)	7.24.0.a.1, 21.48.0-7.a.1.2, 678.2.0.?, 1582.48.0.?, 4746.96.2.?	$[ ]$	$1$
2034.e1	2034e2	2034.e	2034e	$2$	$2$	\( 2 \cdot 3^{2} \cdot 113 \)	\( 2^{3} \cdot 3^{6} \cdot 113^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$904$	$12$	$0$	$1$	$1$		$0$	$1152$	$0.328461$	$10091699281/102152$	$0.95594$	$3.88916$	$[1, -1, 0, -405, 3213]$	\(y^2+xy=x^3-x^2-405x+3213\)	2.3.0.a.1, 8.6.0.b.1, 452.6.0.?, 904.12.0.?	$[ ]$	$1$
2034.e2	2034e1	2034.e	2034e	$2$	$2$	\( 2 \cdot 3^{2} \cdot 113 \)	\( 2^{6} \cdot 3^{6} \cdot 113 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$904$	$12$	$0$	$1$	$1$		$1$	$576$	$-0.018113$	$13997521/7232$	$1.05753$	$3.02531$	$[1, -1, 0, -45, -27]$	\(y^2+xy=x^3-x^2-45x-27\)	2.3.0.a.1, 8.6.0.c.1, 226.6.0.?, 904.12.0.?	$[ ]$	$1$
2034.f1	2034f1	2034.f	2034f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 113 \)	\( 2^{2} \cdot 3^{10} \cdot 113 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$904$	$12$	$0$	$1$	$1$		$1$	$2304$	$0.497867$	$758800078561/36612$	$0.93314$	$4.45625$	$[1, -1, 0, -1710, 27648]$	\(y^2+xy=x^3-x^2-1710x+27648\)	2.3.0.a.1, 8.6.0.d.1, 226.6.0.?, 904.12.0.?	$[ ]$	$1$
2034.f2	2034f2	2034.f	2034f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 113 \)	\( - 2 \cdot 3^{14} \cdot 113^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.5	2B	$904$	$12$	$0$	$1$	$1$		$0$	$4608$	$0.844440$	$-645196518721/167554818$	$0.93865$	$4.48363$	$[1, -1, 0, -1620, 30618]$	\(y^2+xy=x^3-x^2-1620x+30618\)	2.3.0.a.1, 8.6.0.a.1, 452.6.0.?, 904.12.0.?	$[ ]$	$1$
2034.g1	2034g1	2034.g	2034g	$1$	$1$	\( 2 \cdot 3^{2} \cdot 113 \)	\( - 2^{24} \cdot 3^{9} \cdot 113 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$678$	$2$	$0$	$0.150896776$	$1$		$8$	$5760$	$1.284838$	$-75526045083/1895825408$	$1.00397$	$5.08390$	$[1, -1, 1, -2378, 297865]$	\(y^2+xy+y=x^3-x^2-2378x+297865\)	678.2.0.?	$[(145, 1655)]$	$1$
2034.h1	2034i1	2034.h	2034i	$1$	$1$	\( 2 \cdot 3^{2} \cdot 113 \)	\( - 2^{2} \cdot 3^{7} \cdot 113 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$678$	$2$	$0$	$1$	$1$		$0$	$448$	$-0.011568$	$-217081801/1356$	$0.85283$	$3.38659$	$[1, -1, 1, -113, -435]$	\(y^2+xy+y=x^3-x^2-113x-435\)	678.2.0.?	$[ ]$	$1$
2034.i1	2034h1	2034.i	2034h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 113 \)	\( - 2^{6} \cdot 3^{9} \cdot 113 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$678$	$2$	$0$	$0.130548353$	$1$		$8$	$576$	$0.246248$	$30080231/195264$	$0.89134$	$3.43082$	$[1, -1, 1, 58, 533]$	\(y^2+xy+y=x^3-x^2+58x+533\)	678.2.0.?	$[(3, 25)]$	$1$

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