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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 377 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
106470.a1 106470.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1296308025, 17964217463661]$ \(y^2+xy=x^3-x^2-1296308025x+17964217463661\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$ $[ ]$
106470.a2 106470.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1245689145, 19431547433325]$ \(y^2+xy=x^3-x^2-1245689145x+19431547433325\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$ $[ ]$
106470.a3 106470.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -27771210, -16125914700]$ \(y^2+xy=x^3-x^2-27771210x-16125914700\) 2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 24.72.0-6.a.1.4, 39.24.0-3.a.1.1, $\ldots$ $[ ]$
106470.a4 106470.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -21816495, -39216122919]$ \(y^2+xy=x^3-x^2-21816495x-39216122919\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$ $[ ]$
106470.a5 106470.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -21618765, -39962000025]$ \(y^2+xy=x^3-x^2-21618765x-39962000025\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$ $[ ]$
106470.a6 106470.a \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 105894270, -126239537124]$ \(y^2+xy=x^3-x^2+105894270x-126239537124\) 2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 24.72.0-6.a.1.6, 39.24.0-3.a.1.1, $\ldots$ $[ ]$
106470.b1 106470.b \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -301950, -61188750]$ \(y^2+xy=x^3-x^2-301950x-61188750\) 168.2.0.? $[ ]$
106470.c1 106470.c \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -58590, -5444204]$ \(y^2+xy=x^3-x^2-58590x-5444204\) 120.2.0.? $[ ]$
106470.d1 106470.d \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $2$ $\Z/2\Z$ $23.78484787$ $[1, -1, 0, -11929995, -15857201489]$ \(y^2+xy=x^3-x^2-11929995x-15857201489\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.6, 52.12.0-4.c.1.1, $\ldots$ $[(-1993, 920), (-31915/4, 69239/4)]$
106470.d2 106470.d \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $2$ $\Z/2\Z$ $5.946211969$ $[1, -1, 0, -1739295, 534341731]$ \(y^2+xy=x^3-x^2-1739295x+534341731\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.6, 104.12.0.?, $\ldots$ $[(-1069, 34757), (-55, 25124)]$
106470.d3 106470.d \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $5.946211969$ $[1, -1, 0, -750645, -244121279]$ \(y^2+xy=x^3-x^2-750645x-244121279\) 2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.2, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$ $[(-523, 2543), (-442, 1301)]$
106470.d4 106470.d \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $2$ $\Z/2\Z$ $1.486552992$ $[1, -1, 0, 9855, -12472979]$ \(y^2+xy=x^3-x^2+9855x-12472979\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.6, 52.12.0-4.c.1.2, $\ldots$ $[(335, 5156), (842, 23915)]$
106470.e1 106470.e \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -1686655125, -26661260409939]$ \(y^2+xy=x^3-x^2-1686655125x-26661260409939\) 168.2.0.? $[ ]$
106470.f1 106470.f \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -32136480, 77596517376]$ \(y^2+xy=x^3-x^2-32136480x+77596517376\) 3.4.0.a.1, 39.8.0-3.a.1.1, 420.8.0.?, 5460.16.0.? $[ ]$
106470.f2 106470.f \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 2565135, -253085715]$ \(y^2+xy=x^3-x^2+2565135x-253085715\) 3.4.0.a.1, 39.8.0-3.a.1.2, 420.8.0.?, 5460.16.0.? $[ ]$
106470.g1 106470.g \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $4.666728354$ $[1, -1, 0, -207375, -36296389]$ \(y^2+xy=x^3-x^2-207375x-36296389\) 3.4.0.a.1, 39.8.0-3.a.1.2, 168.8.0.?, 2184.16.0.? $[(973, 25636)]$
106470.g2 106470.g \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.555576118$ $[1, -1, 0, -2625, -46539]$ \(y^2+xy=x^3-x^2-2625x-46539\) 3.4.0.a.1, 39.8.0-3.a.1.1, 168.8.0.?, 2184.16.0.? $[(63, 156)]$
106470.h1 106470.h \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -89010, 68172300]$ \(y^2+xy=x^3-x^2-89010x+68172300\) 3.4.0.a.1, 39.8.0-3.a.1.1, 168.8.0.?, 728.2.0.?, 2184.16.0.? $[ ]$
106470.h2 106470.h \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 9855, -2476629]$ \(y^2+xy=x^3-x^2+9855x-2476629\) 3.4.0.a.1, 39.8.0-3.a.1.2, 168.8.0.?, 728.2.0.?, 2184.16.0.? $[ ]$
106470.i1 106470.i \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -1566422415, 23562917106925]$ \(y^2+xy=x^3-x^2-1566422415x+23562917106925\) 168.2.0.? $[ ]$
106470.j1 106470.j \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 603045, -209329925]$ \(y^2+xy=x^3-x^2+603045x-209329925\) 120.2.0.? $[ ]$
106470.k1 106470.k \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -16333290, 25352448876]$ \(y^2+xy=x^3-x^2-16333290x+25352448876\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.v.1, 104.12.0.?, $\ldots$ $[ ]$
106470.k2 106470.k \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -1427490, 51343956]$ \(y^2+xy=x^3-x^2-1427490x+51343956\) 2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 104.12.0.?, 120.24.0.?, $\ldots$ $[ ]$
106470.k3 106470.k \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -940770, -349615980]$ \(y^2+xy=x^3-x^2-940770x-349615980\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ $[ ]$
106470.k4 106470.k \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 5690790, 405834300]$ \(y^2+xy=x^3-x^2+5690790x+405834300\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ $[ ]$
106470.l1 106470.l \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $3.847240093$ $[1, -1, 0, -159990, -24560704]$ \(y^2+xy=x^3-x^2-159990x-24560704\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cc.1, 39.8.0-3.a.1.2, $\ldots$ $[(2935, 155956)]$
106470.l2 106470.l \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $7.694480187$ $[1, -1, 0, -114360, -38897650]$ \(y^2+xy=x^3-x^2-114360x-38897650\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cb.1, 39.8.0-3.a.1.2, $\ldots$ $[(26389/3, 4214738/3)]$
106470.l3 106470.l \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $1.282413364$ $[1, -1, 0, -7890, 238356]$ \(y^2+xy=x^3-x^2-7890x+238356\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cc.1, 39.8.0-3.a.1.1, $\ldots$ $[(75, 216)]$
106470.l4 106470.l \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.564826729$ $[1, -1, 0, 12390, 1248300]$ \(y^2+xy=x^3-x^2+12390x+1248300\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cb.1, 39.8.0-3.a.1.1, $\ldots$ $[(-29, 944)]$
106470.m1 106470.m \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -22310820, 40567042296]$ \(y^2+xy=x^3-x^2-22310820x+40567042296\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 56.6.0.a.1, $\ldots$ $[ ]$
106470.m2 106470.m \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1442700, 587898000]$ \(y^2+xy=x^3-x^2-1442700x+587898000\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0-6.a.1.3, 39.8.0-3.a.1.1, $\ldots$ $[ ]$
106470.m3 106470.m \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -461655, -28449225]$ \(y^2+xy=x^3-x^2-461655x-28449225\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 56.6.0.a.1, $\ldots$ $[ ]$
106470.m4 106470.m \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -355185, -81279639]$ \(y^2+xy=x^3-x^2-355185x-81279639\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0-6.a.1.4, 39.8.0-3.a.1.2, $\ldots$ $[ ]$
106470.n1 106470.n \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -9002070, 10398767796]$ \(y^2+xy=x^3-x^2-9002070x+10398767796\) 3.4.0.a.1, 39.8.0-3.a.1.1, 70.2.0.a.1, 210.8.0.?, 2730.16.0.? $[ ]$
106470.n2 106470.n \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -5355, 39950145]$ \(y^2+xy=x^3-x^2-5355x+39950145\) 3.4.0.a.1, 39.8.0-3.a.1.2, 70.2.0.a.1, 210.8.0.?, 2730.16.0.? $[ ]$
106470.o1 106470.o \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -89543700, -326115062064]$ \(y^2+xy=x^3-x^2-89543700x-326115062064\) 3.4.0.a.1, 39.8.0-3.a.1.2, 70.2.0.a.1, 210.8.0.?, 2730.16.0.? $[ ]$
106470.o2 106470.o \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -89519715, -326298516075]$ \(y^2+xy=x^3-x^2-89519715x-326298516075\) 3.4.0.a.1, 39.8.0-3.a.1.1, 70.2.0.a.1, 210.8.0.?, 2730.16.0.? $[ ]$
106470.p1 106470.p \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -3446097030, 77852403587700]$ \(y^2+xy=x^3-x^2-3446097030x+77852403587700\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.1.7, $\ldots$ $[ ]$
106470.p2 106470.p \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1515765510, -22000772931084]$ \(y^2+xy=x^3-x^2-1515765510x-22000772931084\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[ ]$
106470.p3 106470.p \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1502509995, -22416452817615]$ \(y^2+xy=x^3-x^2-1502509995x-22416452817615\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ $[ ]$
106470.p4 106470.p \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -238125510, 943852772916]$ \(y^2+xy=x^3-x^2-238125510x+943852772916\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.1.6, 39.8.0-3.a.1.1, $\ldots$ $[ ]$
106470.p5 106470.p \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -104589315, -265615756119]$ \(y^2+xy=x^3-x^2-104589315x-265615756119\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.2.6, $\ldots$ $[ ]$
106470.p6 106470.p \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -93911895, -350200141875]$ \(y^2+xy=x^3-x^2-93911895x-350200141875\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.2.10, 39.8.0-3.a.1.2, $\ldots$ $[ ]$
106470.p7 106470.p \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -5207175, -6753206979]$ \(y^2+xy=x^3-x^2-5207175x-6753206979\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ $[ ]$
106470.p8 106470.p \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 42225210, 100613877300]$ \(y^2+xy=x^3-x^2+42225210x+100613877300\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ $[ ]$
106470.q1 106470.q \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $4.910750945$ $[1, -1, 0, -204645, -35581675]$ \(y^2+xy=x^3-x^2-204645x-35581675\) 168.2.0.? $[(-44095/13, 289680/13)]$
106470.r1 106470.r \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -114354135, -463775959139]$ \(y^2+xy=x^3-x^2-114354135x-463775959139\) 2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.? $[ ]$
106470.r2 106470.r \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -5328855, -1311578341475]$ \(y^2+xy=x^3-x^2-5328855x-1311578341475\) 2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.? $[ ]$
106470.s1 106470.s \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -16374026655, 806470438773325]$ \(y^2+xy=x^3-x^2-16374026655x+806470438773325\) 168.2.0.? $[ ]$
106470.t1 106470.t \( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $3.149163777$ $[1, -1, 0, -3795, -89335]$ \(y^2+xy=x^3-x^2-3795x-89335\) 3.4.0.a.1, 39.8.0-3.a.1.2, 420.8.0.?, 5460.16.0.? $[(136, 1309)]$
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