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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 (31 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
11094.a1 11094.a \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $1.842294227$ $[1, 1, 0, -31471, -2272529]$ \(y^2+xy=x^3+x^2-31471x-2272529\) 8.2.0.a.1 $[(1231/2, 32051/2)]$
11094.b1 11094.b \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -3736, -14900]$ \(y^2+xy=x^3+x^2-3736x-14900\) 2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? $[ ]$
11094.b2 11094.b \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 14754, -99954]$ \(y^2+xy=x^3+x^2+14754x-99954\) 2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? $[ ]$
11094.c1 11094.c \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -5199426, 4575342996]$ \(y^2+xy=x^3+x^2-5199426x+4575342996\) 8.2.0.a.1 $[ ]$
11094.d1 11094.d \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $2.266199381$ $[1, 1, 0, -3736, 495424]$ \(y^2+xy=x^3+x^2-3736x+495424\) 8.2.0.a.1 $[(-89, 409)]$
11094.e1 11094.e \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -110756987, 448654090257]$ \(y^2+xy=x^3+x^2-110756987x+448654090257\) 7.24.0.a.2, 84.48.0.?, 301.48.0.?, 516.2.0.?, 3612.96.2.? $[ ]$
11094.e2 11094.e \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 293953, -136927803]$ \(y^2+xy=x^3+x^2+293953x-136927803\) 7.24.0.a.1, 84.48.0.?, 301.48.0.?, 516.2.0.?, 3612.96.2.? $[ ]$
11094.f1 11094.f \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $0.868584586$ $[1, 1, 0, 48, 7632]$ \(y^2+xy=x^3+x^2+48x+7632\) 516.2.0.? $[(-4, 88)]$
11094.g1 11094.g \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -81738, 10098270]$ \(y^2+xy=x^3+x^2-81738x+10098270\) 8.2.0.a.1, 13.28.0.a.2, 104.56.1.?, 559.168.2.?, 4472.336.9.? $[ ]$
11094.g2 11094.g \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -1328, -19200]$ \(y^2+xy=x^3+x^2-1328x-19200\) 8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.168.2.?, 4472.336.9.? $[ ]$
11094.h1 11094.h \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $1.781723778$ $[1, 0, 1, -81585315, -283651057358]$ \(y^2+xy+y=x^3-81585315x-283651057358\) 516.2.0.? $[(53345, 12104616)]$
11094.i1 11094.i \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $0.235663824$ $[1, 0, 1, -4726, 124802]$ \(y^2+xy+y=x^3-4726x+124802\) 7.8.0.a.1, 8.2.0.a.1, 56.16.0.a.1, 301.48.0.?, 2408.96.2.? $[(40, -7)]$
11094.i2 11094.i \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $1.649646772$ $[1, 0, 1, 4, -70]$ \(y^2+xy+y=x^3+4x-70\) 7.8.0.a.1, 8.2.0.a.1, 56.16.0.a.1, 301.48.0.?, 2408.96.2.? $[(6, 10)]$
11094.j1 11094.j \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\Z/2\Z$ $21.58245697$ $[1, 0, 1, -10176935, 12495225794]$ \(y^2+xy+y=x^3-10176935x+12495225794\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.3, $\ldots$ $[(10307428642/2223, 192183417921916/2223)]$
11094.j2 11094.j \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $10.79122848$ $[1, 0, 1, -636095, 195174866]$ \(y^2+xy+y=x^3-636095x+195174866\) 2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 172.12.0.?, $\ldots$ $[(-3945/19, 97548868/19)]$
11094.j3 11094.j \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\Z/2\Z$ $5.395614242$ $[1, 0, 1, -562135, 242302178]$ \(y^2+xy+y=x^3-562135x+242302178\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 172.12.0.?, $\ldots$ $[(4366/5, 1517221/5)]$
11094.j4 11094.j \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\Z/2\Z$ $5.395614242$ $[1, 0, 1, -44415, 2287186]$ \(y^2+xy+y=x^3-44415x+2287186\) 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.1.1, $\ldots$ $[(-11606/9, 1794545/9)]$
11094.k1 11094.k \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $0.331039421$ $[1, 0, 1, -125, 704]$ \(y^2+xy+y=x^3-125x+704\) 8.2.0.a.1 $[(6, 10)]$
11094.l1 11094.l \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -230239, -56913715]$ \(y^2+xy+y=x^3+x^2-230239x-56913715\) 8.2.0.a.1 $[ ]$
11094.m1 11094.m \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -8737488, -9957602397]$ \(y^2+xy+y=x^3+x^2-8737488x-9957602397\) 7.16.0-7.a.1.1, 8.2.0.a.1, 56.32.0-56.a.1.2, 301.48.0.?, 2408.96.2.? $[ ]$
11094.m2 11094.m \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, 8282, 5578787]$ \(y^2+xy+y=x^3+x^2+8282x+5578787\) 7.16.0-7.a.1.2, 8.2.0.a.1, 56.32.0-56.a.1.1, 301.48.0.?, 2408.96.2.? $[ ]$
11094.n1 11094.n \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $4.827680554$ $[1, 1, 1, -26849, -1876381]$ \(y^2+xy+y=x^3+x^2-26849x-1876381\) 516.2.0.? $[(18583/3, 2497846/3)]$
11094.o1 11094.o \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $4.185008330$ $[1, 0, 0, -151134525, -805603568589]$ \(y^2+xy=x^3-151134525x-805603568589\) 8.2.0.a.1, 13.56.0-13.a.2.2, 104.112.1.?, 559.168.2.?, 4472.336.9.? $[(8970075/22, 17588748537/22)]$
11094.o2 11094.o \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $0.321923717$ $[1, 0, 0, -2456435, 1482324321]$ \(y^2+xy=x^3-2456435x+1482324321\) 8.2.0.a.1, 13.56.0-13.a.1.1, 104.112.1.?, 559.168.2.?, 4472.336.9.? $[(154, 33205)]$
11094.p1 11094.p \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $1.251252868$ $[1, 0, 0, 87789, -605211471]$ \(y^2+xy=x^3+87789x-605211471\) 516.2.0.? $[(3852, 236595)]$
11094.q1 11094.q \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, 4584, 326784]$ \(y^2+xy=x^3+4584x+326784\) 516.2.0.? $[ ]$
11094.r1 11094.r \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -6908827, -39514029103]$ \(y^2+xy=x^3-6908827x-39514029103\) 8.2.0.a.1 $[ ]$
11094.s1 11094.s \( 2 \cdot 3 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $0.429086186$ $[1, 0, 0, -2812, -57808]$ \(y^2+xy=x^3-2812x-57808\) 8.2.0.a.1 $[(68, 224)]$
11094.t1 11094.t \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -3543647, -2563479975]$ \(y^2+xy=x^3-3543647x-2563479975\) 2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? $[ ]$
11094.t2 11094.t \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -2360287, -4302782503]$ \(y^2+xy=x^3-2360287x-4302782503\) 2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? $[ ]$
11094.u1 11094.u \( 2 \cdot 3 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -17, 27]$ \(y^2+xy=x^3-17x+27\) 8.2.0.a.1 $[ ]$
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