Elliptic curves over $\Q$ of conductor 18400

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (28 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
18400.a1	18400j1	18400.a	18400j	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{7} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.716473172$	$1$		$12$	$13824$	$0.582119$	$175616/115$	$0.70366$	$3.06009$		$[0, 1, 0, 467, 1563]$	\(y^2=x^3+x^2+467x+1563\)	230.2.0.?	$[(13, 100), (38, 275)]$	$1$
18400.b1	18400i1	18400.b	18400i	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{2} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.572887483$	$1$		$12$	$2688$	$-0.087710$	$40000/23$	$0.98486$	$2.25387$		$[0, 1, 0, -33, -17]$	\(y^2=x^3+x^2-33x-17\)	92.2.0.?	$[(-1, 4), (7, 12)]$	$1$
18400.c1	18400m1	18400.c	18400m	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.241493965$	$1$		$6$	$13440$	$0.717010$	$40000/23$	$0.98486$	$3.23723$		$[0, 1, 0, -833, 463]$	\(y^2=x^3+x^2-833x+463\)	92.2.0.?	$[(-17, 100)]$	$1$
18400.d1	18400d1	18400.d	18400d	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{13} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1.494379848$	$1$		$2$	$96768$	$1.899473$	$25934336/950546875$	$1.08298$	$4.69462$		$[0, 1, 0, 2467, 11867563]$	\(y^2=x^3+x^2+2467x+11867563\)	230.2.0.?	$[(-122, 3125)]$	$1$
18400.e1	18400p1	18400.e	18400p	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{9} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$13824$	$0.920025$	$-53157376/2875$	$0.79548$	$3.65093$		$[0, 1, 0, -3133, -71637]$	\(y^2=x^3+x^2-3133x-71637\)	230.2.0.?	$[ ]$	$1$
18400.f1	18400h1	18400.f	18400h	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{7} \cdot 23^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.312192466$	$1$		$14$	$314880$	$2.011646$	$-670933008285184/32181715$	$0.97253$	$5.30688$		$[0, 1, 0, -729533, 239603563]$	\(y^2=x^3+x^2-729533x+239603563\)	230.2.0.?	$[(478, 575), (317, 6348)]$	$1$
18400.g1	18400v1	18400.g	18400v	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{8} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.521510124$	$1$		$16$	$26880$	$1.193647$	$2598592320/23$	$0.95982$	$4.36569$		$[0, 0, 0, -33500, 2360000]$	\(y^2=x^3-33500x+2360000\)	92.2.0.?	$[(100, 100), (50, 900)]$	$1$
18400.h1	18400u1	18400.h	18400u	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{9} \cdot 23^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$1380$	$12$	$1$	$2.441518131$	$1$		$10$	$42240$	$1.384975$	$-18399744/12167$	$0.87266$	$4.10307$		$[0, 0, 0, -11000, -650000]$	\(y^2=x^3-11000x-650000\)	3.3.0.a.1, 12.6.0.d.1, 230.2.0.?, 690.6.1.?, 1380.12.1.?	$[(225, 2875), (156, 1196)]$	$1$
18400.i1	18400l1	18400.i	18400l	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{3} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$1380$	$12$	$1$	$0.288637876$	$1$		$6$	$8448$	$0.580256$	$-18399744/12167$	$0.87266$	$3.11972$		$[0, 0, 0, -440, 5200]$	\(y^2=x^3-440x+5200\)	3.3.0.a.1, 12.6.0.d.1, 230.2.0.?, 690.6.1.?, 1380.12.1.?	$[(24, 92)]$	$1$
18400.j1	18400f1	18400.j	18400f	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{2} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$5376$	$0.388928$	$2598592320/23$	$0.95982$	$3.38233$		$[0, 0, 0, -1340, -18880]$	\(y^2=x^3-1340x-18880\)	92.2.0.?	$[ ]$	$1$
18400.k1	18400e3	18400.k	18400e	$4$	$4$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$920$	$48$	$0$	$1$	$1$		$1$	$33792$	$1.337852$	$779704121664/575$	$1.02637$	$4.61875$		$[0, 0, 0, -76700, 8176000]$	\(y^2=x^3-76700x+8176000\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.2, 40.24.0-8.p.1.1, $\ldots$	$[ ]$	$1$
18400.k2	18400e2	18400.k	18400e	$4$	$4$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{9} \cdot 5^{8} \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.15	2B	$920$	$48$	$0$	$1$	$1$		$1$	$33792$	$1.337852$	$18778674312/6996025$	$1.05005$	$4.02755$		$[0, 0, 0, -11075, -267750]$	\(y^2=x^3-11075x-267750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.1, 40.24.0-8.k.1.1, $\ldots$	$[ ]$	$1$
18400.k3	18400e1	18400.k	18400e	$4$	$4$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{6} \cdot 5^{10} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$920$	$48$	$0$	$1$	$1$		$3$	$16896$	$0.991280$	$12422690496/330625$	$1.14862$	$3.77372$		$[0, 0, 0, -4825, 126000]$	\(y^2=x^3-4825x+126000\)	2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.2, 92.12.0.?, $\ldots$	$[ ]$	$1$
18400.k4	18400e4	18400.k	18400e	$4$	$4$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{9} \cdot 5^{14} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$920$	$48$	$0$	$1$	$1$		$1$	$33792$	$1.337852$	$10941048/8984375$	$1.03111$	$4.00810$		$[0, 0, 0, 925, 407750]$	\(y^2=x^3+925x+407750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.4, 184.24.0.?, $\ldots$	$[ ]$	$1$
18400.l1	18400a2	18400.l	18400a	$4$	$4$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$920$	$48$	$0$	$17.34392363$	$1$		$1$	$33792$	$1.337852$	$779704121664/575$	$1.02637$	$4.61875$		$[0, 0, 0, -76700, -8176000]$	\(y^2=x^3-76700x-8176000\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.1, 40.24.0-8.p.1.3, $\ldots$	$[(228680560/837, 734242623400/837)]$	$1$
18400.l2	18400a3	18400.l	18400a	$4$	$4$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{9} \cdot 5^{8} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.15	2B	$920$	$48$	$0$	$4.335980908$	$1$		$3$	$33792$	$1.337852$	$18778674312/6996025$	$1.05005$	$4.02755$		$[0, 0, 0, -11075, 267750]$	\(y^2=x^3-11075x+267750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.2, 40.24.0-8.k.1.2, $\ldots$	$[(-79, 806)]$	$1$
18400.l3	18400a1	18400.l	18400a	$4$	$4$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{6} \cdot 5^{10} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$920$	$48$	$0$	$8.671961817$	$1$		$3$	$16896$	$0.991280$	$12422690496/330625$	$1.14862$	$3.77372$		$[0, 0, 0, -4825, -126000]$	\(y^2=x^3-4825x-126000\)	2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.1, 92.12.0.?, $\ldots$	$[(-6644/13, 118854/13)]$	$1$
18400.l4	18400a4	18400.l	18400a	$4$	$4$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{9} \cdot 5^{14} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$920$	$48$	$0$	$17.34392363$	$1$		$1$	$33792$	$1.337852$	$10941048/8984375$	$1.03111$	$4.00810$		$[0, 0, 0, 925, -407750]$	\(y^2=x^3+925x-407750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.2, 184.24.0.?, $\ldots$	$[(28001674/351, 146923753582/351)]$	$1$
18400.m1	18400b1	18400.m	18400b	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{2} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.054385551$	$1$		$2$	$5376$	$0.388928$	$2598592320/23$	$0.95982$	$3.38233$		$[0, 0, 0, -1340, 18880]$	\(y^2=x^3-1340x+18880\)	92.2.0.?	$[(21, 1)]$	$1$
18400.n1	18400r1	18400.n	18400r	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{9} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$1380$	$12$	$1$	$2.366481464$	$1$		$2$	$42240$	$1.384975$	$-18399744/12167$	$0.87266$	$4.10307$		$[0, 0, 0, -11000, 650000]$	\(y^2=x^3-11000x+650000\)	3.3.0.a.1, 12.6.0.d.1, 230.2.0.?, 690.6.1.?, 1380.12.1.?	$[(25, 625)]$	$1$
18400.o1	18400k1	18400.o	18400k	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{3} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.3.0.1	3Nn	$1380$	$12$	$1$	$1$	$1$		$0$	$8448$	$0.580256$	$-18399744/12167$	$0.87266$	$3.11972$		$[0, 0, 0, -440, -5200]$	\(y^2=x^3-440x-5200\)	3.3.0.a.1, 12.6.0.d.1, 230.2.0.?, 690.6.1.?, 1380.12.1.?	$[ ]$	$1$
18400.p1	18400s1	18400.p	18400s	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.347681705$	$1$		$0$	$26880$	$1.193647$	$2598592320/23$	$0.95982$	$4.36569$		$[0, 0, 0, -33500, -2360000]$	\(y^2=x^3-33500x-2360000\)	92.2.0.?	$[(-950/3, 100/3)]$	$1$
18400.q1	18400o1	18400.q	18400o	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{7} \cdot 23^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$4$	$2$	$0$	$314880$	$2.011646$	$-670933008285184/32181715$	$0.97253$	$5.30688$		$[0, -1, 0, -729533, -239603563]$	\(y^2=x^3-x^2-729533x-239603563\)	230.2.0.?	$[ ]$	$1$
18400.r1	18400q1	18400.r	18400q	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{13} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1.828881067$	$1$		$0$	$96768$	$1.899473$	$25934336/950546875$	$1.08298$	$4.69462$		$[0, -1, 0, 2467, -11867563]$	\(y^2=x^3-x^2+2467x-11867563\)	230.2.0.?	$[(3613/2, 215625/2)]$	$1$
18400.s1	18400g1	18400.s	18400g	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{9} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$13824$	$0.920025$	$-53157376/2875$	$0.79548$	$3.65093$		$[0, -1, 0, -3133, 71637]$	\(y^2=x^3-x^2-3133x+71637\)	230.2.0.?	$[ ]$	$1$
18400.t1	18400t1	18400.t	18400t	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{8} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.319697182$	$1$		$2$	$13440$	$0.717010$	$40000/23$	$0.98486$	$3.23723$		$[0, -1, 0, -833, -463]$	\(y^2=x^3-x^2-833x-463\)	92.2.0.?	$[(-8, 75)]$	$1$
18400.u1	18400n1	18400.u	18400n	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( 2^{12} \cdot 5^{2} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$2688$	$-0.087710$	$40000/23$	$0.98486$	$2.25387$		$[0, -1, 0, -33, 17]$	\(y^2=x^3-x^2-33x+17\)	92.2.0.?	$[ ]$	$1$
18400.v1	18400c1	18400.v	18400c	$1$	$1$	\( 2^{5} \cdot 5^{2} \cdot 23 \)	\( - 2^{12} \cdot 5^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1.319997925$	$1$		$2$	$13824$	$0.582119$	$175616/115$	$0.70366$	$3.06009$		$[0, -1, 0, 467, -1563]$	\(y^2=x^3-x^2+467x-1563\)	230.2.0.?	$[(12, 75)]$	$1$

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