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Results (35 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
14157.a1 14157.a \( 3^{2} \cdot 11^{2} \cdot 13 \) $2$ $\mathsf{trivial}$ $0.129101405$ $[0, 0, 1, -9075, 531220]$ \(y^2+y=x^3-9075x+531220\) 6.2.0.a.1
14157.b1 14157.b \( 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -1289739, 563887134]$ \(y^2+y=x^3-1289739x+563887134\) 6.2.0.a.1
14157.c1 14157.c \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.698311877$ $[1, -1, 1, -1958771, -1032102728]$ \(y^2+xy+y=x^3-x^2-1958771x-1032102728\) 2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?
14157.c2 14157.c \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.396623754$ $[1, -1, 1, 17764, -50950754]$ \(y^2+xy+y=x^3-x^2+17764x-50950754\) 2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?
14157.d1 14157.d \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.253634513$ $[1, -1, 1, -14180, 492396]$ \(y^2+xy+y=x^3-x^2-14180x+492396\) 2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?
14157.d2 14157.d \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.507269027$ $[1, -1, 1, 2155, 48084]$ \(y^2+xy+y=x^3-x^2+2155x+48084\) 2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.?
14157.e1 14157.e \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.931615633$ $[1, -1, 1, -20714, 727620]$ \(y^2+xy+y=x^3-x^2-20714x+727620\) 26.2.0.a.1
14157.f1 14157.f \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $7.537217755$ $[1, -1, 1, -7474919, 7867939016]$ \(y^2+xy+y=x^3-x^2-7474919x+7867939016\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 48.48.0-48.g.1.5, 132.12.0.?, $\ldots$
14157.f2 14157.f \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.768608877$ $[1, -1, 1, -3276824, -2209998040]$ \(y^2+xy+y=x^3-x^2-3276824x-2209998040\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0-8.n.1.6, $\ldots$
14157.f3 14157.f \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $7.537217755$ $[1, -1, 1, -516209, 95667608]$ \(y^2+xy+y=x^3-x^2-516209x+95667608\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 12.24.0.c.1, 24.48.0-12.c.1.1, $\ldots$
14157.f4 14157.f \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.768608877$ $[1, -1, 1, -467204, 123012398]$ \(y^2+xy+y=x^3-x^2-467204x+123012398\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.m.1.14, 88.48.0.?, $\ldots$
14157.f5 14157.f \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.884304438$ $[1, -1, 1, -26159, 2342486]$ \(y^2+xy+y=x^3-x^2-26159x+2342486\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 24.24.0-8.n.1.8, $\ldots$
14157.f6 14157.f \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $15.07443551$ $[1, -1, 1, 1460326, 650678636]$ \(y^2+xy+y=x^3-x^2+1460326x+650678636\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0-8.n.1.7, 12.12.0.g.1, $\ldots$
14157.g1 14157.g \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.232535705$ $[0, 0, 1, -1782, 31556]$ \(y^2+y=x^3-1782x+31556\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1
14157.h1 14157.h \( 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -215622, -42001369]$ \(y^2+y=x^3-215622x-42001369\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1
14157.i1 14157.i \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.547556978$ $[0, 0, 1, -3547236, 2571480535]$ \(y^2+y=x^3-3547236x+2571480535\) 6.2.0.a.1
14157.j1 14157.j \( 3^{2} \cdot 11^{2} \cdot 13 \) $2$ $\mathsf{trivial}$ $0.338846490$ $[0, 0, 1, -66, 382]$ \(y^2+y=x^3-66x+382\) 6.2.0.a.1
14157.k1 14157.k \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.628152699$ $[0, 0, 1, -7986, -508775]$ \(y^2+y=x^3-7986x-508775\) 6.2.0.a.1
14157.l1 14157.l \( 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -429215556, -3422640592418]$ \(y^2+y=x^3-429215556x-3422640592418\) 6.2.0.a.1
14157.m1 14157.m \( 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -79860, -8780940]$ \(y^2+y=x^3-79860x-8780940\) 3.8.0-3.a.1.1, 6.16.0-6.b.1.1
14157.m2 14157.m \( 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\Z/3\Z$ $1$ $[0, 0, 1, 279510, -44753877]$ \(y^2+y=x^3+279510x-44753877\) 3.8.0-3.a.1.2, 6.16.0-6.b.1.2
14157.n1 14157.n \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.591030675$ $[0, 0, 1, -660, 6597]$ \(y^2+y=x^3-660x+6597\) 3.4.0.a.1, 6.8.0.b.1, 33.8.0-3.a.1.1, 66.16.0-6.b.1.1
14157.n2 14157.n \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.773092026$ $[0, 0, 1, 2310, 33624]$ \(y^2+y=x^3+2310x+33624\) 3.4.0.a.1, 6.8.0.b.1, 33.8.0-3.a.1.2, 66.16.0-6.b.1.2
14157.o1 14157.o \( 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -1452, -77531]$ \(y^2+y=x^3-1452x-77531\) 22.2.0.a.1
14157.p1 14157.p \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.031739688$ $[0, 0, 1, -198, -1169]$ \(y^2+y=x^3-198x-1169\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1
14157.q1 14157.q \( 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -23958, 1555606]$ \(y^2+y=x^3-23958x+1555606\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1
14157.r1 14157.r \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $9.574011815$ $[1, -1, 0, -75708, -7998809]$ \(y^2+xy=x^3-x^2-75708x-7998809\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$
14157.r2 14157.r \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.393502953$ $[1, -1, 0, -21258, 1085629]$ \(y^2+xy=x^3-x^2-21258x+1085629\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$
14157.r3 14157.r \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.787005907$ $[1, -1, 0, -4923, -113360]$ \(y^2+xy=x^3-x^2-4923x-113360\) 2.6.0.a.1, 12.12.0.a.1, 44.12.0-2.a.1.1, 52.12.0.b.1, 132.24.0.?, $\ldots$
14157.r4 14157.r \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $2.393502953$ $[1, -1, 0, 522, -9905]$ \(y^2+xy=x^3-x^2+522x-9905\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 44.12.0-4.c.1.2, 78.6.0.?, $\ldots$
14157.s1 14157.s \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.549300842$ $[1, -1, 0, -217641, 38298574]$ \(y^2+xy=x^3-x^2-217641x+38298574\) 2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?
14157.s2 14157.s \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.098601684$ $[1, -1, 0, 1974, 1886407]$ \(y^2+xy=x^3-x^2+1974x+1886407\) 2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?
14157.t1 14157.t \( 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -171, -500]$ \(y^2+xy=x^3-x^2-171x-500\) 26.2.0.a.1
14157.u1 14157.u \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $18.09024022$ $[0, 0, 1, -1098075, -707054153]$ \(y^2+y=x^3-1098075x-707054153\) 6.2.0.a.1
14157.v1 14157.v \( 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $10.27515243$ $[0, 0, 1, -10659, -423657]$ \(y^2+y=x^3-10659x-423657\) 6.2.0.a.1
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