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

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Results (1-50 of 150 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
438080.a1 438080.a \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $4.099479213$ $[0, 0, 0, -1201697248, 15951550368928]$ \(y^2=x^3-1201697248x+15951550368928\) 74.2.0.? $[(-106671/2, 43105703/2)]$
438080.b1 438080.b \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -40108, -2059568]$ \(y^2=x^3-40108x-2059568\) 40.2.0.b.1 $[ ]$
438080.c1 438080.c \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $1.804047917$ $[0, 0, 0, -2368, -43808]$ \(y^2=x^3-2368x-43808\) 74.2.0.? $[(-111/2, 185/2)]$
438080.d1 438080.d \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -153328, -21071648]$ \(y^2=x^3-153328x-21071648\) 74.2.0.? $[ ]$
438080.e1 438080.e \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $1.748603022$ $[0, 0, 0, -54907852, -104323297904]$ \(y^2=x^3-54907852x-104323297904\) 40.2.0.b.1 $[(134162, 49064960)]$
438080.f1 438080.f \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -3241792, -2219006624]$ \(y^2=x^3-3241792x-2219006624\) 74.2.0.? $[ ]$
438080.g1 438080.g \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $1.443487841$ $[0, 1, 0, -89441, -11946401]$ \(y^2=x^3+x^2-89441x-11946401\) 1480.2.0.? $[(567, 10952)]$
438080.h1 438080.h \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $0.804862483$ $[0, 1, 0, -6561, 201439]$ \(y^2=x^3+x^2-6561x+201439\) 2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.? $[(39, 80)]$
438080.h2 438080.h \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $1.609724966$ $[0, 1, 0, -641, -1025]$ \(y^2=x^3+x^2-641x-1025\) 2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 370.6.0.?, 1480.12.0.? $[(-9, 64)]$
438080.i1 438080.i \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $18.29429806$ $[0, 1, 0, 169228479, -579891564545]$ \(y^2=x^3+x^2+169228479x-579891564545\) 1480.2.0.? $[(490071739701/3793, 364887855232317268/3793)]$
438080.j1 438080.j \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -33766841, -75535043705]$ \(y^2=x^3+x^2-33766841x-75535043705\) 2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.1, 296.12.0.?, 370.6.0.?, $\ldots$ $[ ]$
438080.j2 438080.j \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -2108716, -1182771330]$ \(y^2=x^3+x^2-2108716x-1182771330\) 2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 148.12.0.?, 740.24.0.?, $\ldots$ $[ ]$
438080.k1 438080.k \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -226341, 41362459]$ \(y^2=x^3+x^2-226341x+41362459\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ $[ ]$
438080.k2 438080.k \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -198961, 51772335]$ \(y^2=x^3+x^2-198961x+51772335\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ $[ ]$
438080.k3 438080.k \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -7301, -167525]$ \(y^2=x^3+x^2-7301x-167525\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ $[ ]$
438080.k4 438080.k \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 20079, -1103921]$ \(y^2=x^3+x^2+20079x-1103921\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ $[ ]$
438080.l1 438080.l \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $0.707882666$ $[0, 1, 0, -641, 6079]$ \(y^2=x^3+x^2-641x+6079\) 40.2.0.a.1 $[(15, 8)]$
438080.m1 438080.m \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $47.25776366$ $[0, 1, 0, -10603361, -292293796865]$ \(y^2=x^3+x^2-10603361x-292293796865\) 40.2.0.a.1 $[(8928837345391724363331/900792137, 702434200223577992001506783339008/900792137)]$
438080.n1 438080.n \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -4689281, -3910113665]$ \(y^2=x^3+x^2-4689281x-3910113665\) 3.4.0.a.1, 9.12.0.a.1, 30.8.0-3.a.1.1, 90.24.0.?, 333.36.0.?, $\ldots$ $[ ]$
438080.n2 438080.n \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -1622721, -8916579521]$ \(y^2=x^3+x^2-1622721x-8916579521\) 3.12.0.a.1, 30.24.0-3.a.1.1, 333.36.0.?, 888.24.0.?, 1480.2.0.?, $\ldots$ $[ ]$
438080.n3 438080.n \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 14586239, 239057815935]$ \(y^2=x^3+x^2+14586239x+239057815935\) 3.4.0.a.1, 9.12.0.a.1, 30.8.0-3.a.1.2, 90.24.0.?, 333.36.0.?, $\ldots$ $[ ]$
438080.o1 438080.o \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $3.635794966$ $[0, 1, 0, -34681, -2472921]$ \(y^2=x^3+x^2-34681x-2472921\) 2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0.br.1, $\ldots$ $[(-115, 88)]$
438080.o2 438080.o \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $1.817897483$ $[0, 1, 0, -456, -97706]$ \(y^2=x^3+x^2-456x-97706\) 2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.t.1, 148.12.0.?, $\ldots$ $[(197, 2738)]$
438080.p1 438080.p \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -308481, 63622399]$ \(y^2=x^3+x^2-308481x+63622399\) 2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.1, 296.12.0.?, 370.6.0.?, $\ldots$ $[ ]$
438080.p2 438080.p \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 129599, 230180415]$ \(y^2=x^3+x^2+129599x+230180415\) 2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 148.12.0.?, 740.24.0.?, $\ldots$ $[ ]$
438080.q1 438080.q \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -8982465, 10311277375]$ \(y^2=x^3+x^2-8982465x+10311277375\) 2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.? $[ ]$
438080.q2 438080.q \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -877985, -41385377]$ \(y^2=x^3+x^2-877985x-41385377\) 2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 370.6.0.?, 1480.12.0.? $[ ]$
438080.r1 438080.r \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $2.322117389$ $[0, 1, 0, -330385, -73080465]$ \(y^2=x^3+x^2-330385x-73080465\) 2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.4, 296.12.0.?, 370.6.0.?, $\ldots$ $[(1529, 54760)]$
438080.r2 438080.r \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $4.644234779$ $[0, 1, 0, -220865, -122211137]$ \(y^2=x^3+x^2-220865x-122211137\) 2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.2, 296.12.0.?, 740.12.0.?, $\ldots$ $[(7189/2, 581825/2)]$
438080.s1 438080.s \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $7.870531761$ $[0, 1, 0, -462176225, 3824211706783]$ \(y^2=x^3+x^2-462176225x+3824211706783\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ $[(11447273/29, 5736756168/29)]$
438080.s2 438080.s \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $15.74106352$ $[0, 1, 0, -460423905, 3854650556575]$ \(y^2=x^3+x^2-460423905x+3854650556575\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.2, $\ldots$ $[(676537405/242, 3946987070325/242)]$
438080.s3 438080.s \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $2.623510587$ $[0, 1, 0, -6573025, 3544299423]$ \(y^2=x^3+x^2-6573025x+3544299423\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ $[(6561, 492840)]$
438080.s4 438080.s \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\Z/2\Z$ $5.247021174$ $[0, 1, 0, 21464095, 25822594975]$ \(y^2=x^3+x^2+21464095x+25822594975\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.1, $\ldots$ $[(10445/2, 2525805/2)]$
438080.t1 438080.t \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -877985, 318453535]$ \(y^2=x^3+x^2-877985x+318453535\) 40.2.0.a.1 $[ ]$
438080.u1 438080.u \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -7745, -5773025]$ \(y^2=x^3+x^2-7745x-5773025\) 40.2.0.a.1 $[ ]$
438080.v1 438080.v \( 2^{6} \cdot 5 \cdot 37^{2} \) $2$ $\mathsf{trivial}$ $7.636865943$ $[0, 1, 0, 1093375, -629113505]$ \(y^2=x^3+x^2+1093375x-629113505\) 1480.2.0.? $[(493, 5476), (69371/7, 21027840/7)]$
438080.w1 438080.w \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -1825, -60003777]$ \(y^2=x^3+x^2-1825x-60003777\) 1480.2.0.? $[ ]$
438080.x1 438080.x \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $0.785995527$ $[0, -1, 0, -856081, 305145131]$ \(y^2=x^3-x^2-856081x+305145131\) 74.2.0.? $[(1246, 34225)]$
438080.y1 438080.y \( 2^{6} \cdot 5 \cdot 37^{2} \) $2$ $\mathsf{trivial}$ $2.860547488$ $[0, -1, 0, -641, -4895]$ \(y^2=x^3-x^2-641x-4895\) 40.2.0.b.1 $[(-19, 8), (29, 8)]$
438080.z1 438080.z \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $20.56074869$ $[0, -1, 0, -65828821, -205553835379]$ \(y^2=x^3-x^2-65828821x-205553835379\) 3.4.0.a.1, 24.8.0-3.a.1.5, 74.2.0.?, 222.8.0.?, 888.16.0.? $[(-5564603366359/34456, 1373936493699125/34456)]$
438080.z2 438080.z \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $6.853582899$ $[0, -1, 0, -992981, -147410675]$ \(y^2=x^3-x^2-992981x-147410675\) 3.4.0.a.1, 24.8.0-3.a.1.6, 74.2.0.?, 222.8.0.?, 888.16.0.? $[(-58303/8, 294335/8)]$
438080.ba1 438080.ba \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $1.780499912$ $[0, -1, 0, -1381, -16069]$ \(y^2=x^3-x^2-1381x-16069\) 3.6.0.b.1, 6.12.0.b.1, 74.2.0.?, 111.12.0.?, 222.24.1.? $[(46, 125)]$
438080.bb1 438080.bb \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -2498881, -697743199]$ \(y^2=x^3-x^2-2498881x-697743199\) 40.2.0.b.1 $[ ]$
438080.bc1 438080.bc \( 2^{6} \cdot 5 \cdot 37^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -5578381121, 160341801673345]$ \(y^2=x^3-x^2-5578381121x+160341801673345\) 40.2.0.b.1 $[ ]$
438080.bd1 438080.bd \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $7.762370662$ $[0, -1, 0, -12481, -531775]$ \(y^2=x^3-x^2-12481x-531775\) 3.4.0.a.1, 40.2.0.b.1, 120.8.0.?, 888.8.0.?, 1110.8.0.?, $\ldots$ $[(-10825/13, 61040/13)]$
438080.bd2 438080.bd \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $2.587456887$ $[0, -1, 0, -641, 5761]$ \(y^2=x^3-x^2-641x+5761\) 3.4.0.a.1, 40.2.0.b.1, 120.8.0.?, 888.8.0.?, 1110.8.0.?, $\ldots$ $[(-1, 80)]$
438080.be1 438080.be \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $1.541432979$ $[0, -1, 0, -20991, 1016305]$ \(y^2=x^3-x^2-20991x+1016305\) 74.2.0.? $[(-603/2, 6845/2)]$
438080.bf1 438080.bf \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $0.744910306$ $[0, -1, 0, -877985, -258480383]$ \(y^2=x^3-x^2-877985x-258480383\) 40.2.0.b.1 $[(-456, 6845)]$
438080.bg1 438080.bg \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $2.534142269$ $[0, -1, 0, -3114052435, 66883095840917]$ \(y^2=x^3-x^2-3114052435x+66883095840917\) 74.2.0.? $[(760124/5, 69343957/5)]$
438080.bh1 438080.bh \( 2^{6} \cdot 5 \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $0.959620211$ $[0, -1, 0, -248245, -3939475]$ \(y^2=x^3-x^2-248245x-3939475\) 74.2.0.? $[(580, 6845)]$
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