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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 485 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
446160.a1 446160.a \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2831088056, 32598851400816]$ \(y^2=x^3-x^2-2831088056x+32598851400816\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ $[ ]$
446160.a2 446160.a \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -2471185656, 47269049068656]$ \(y^2=x^3-x^2-2471185656x+47269049068656\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.2.3, 52.12.0-2.a.1.1, $\ldots$ $[ ]$
446160.a3 446160.a \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2470969336, 47277740633200]$ \(y^2=x^3-x^2-2470969336x+47277740633200\) 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.1.3, $\ldots$ $[ ]$
446160.a4 446160.a \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2114744376, 61382983144560]$ \(y^2=x^3-x^2-2114744376x+61382983144560\) 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.4.2, $\ldots$ $[ ]$
446160.a5 446160.a \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1276017656, -17542015046544]$ \(y^2=x^3-x^2-1276017656x-17542015046544\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ $[ ]$
446160.a6 446160.a \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -86257656, -226723910544]$ \(y^2=x^3-x^2-86257656x-226723910544\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.1.9, 52.12.0-2.a.1.1, $\ldots$ $[ ]$
446160.a7 446160.a \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -30879736, 63190576240]$ \(y^2=x^3-x^2-30879736x+63190576240\) 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.1.3, $\ldots$ $[ ]$
446160.a8 446160.a \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 217455624, -1466845975440]$ \(y^2=x^3-x^2+217455624x-1466845975440\) 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.3.5, $\ldots$ $[ ]$
446160.b1 446160.b \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $2.438395635$ $[0, -1, 0, -642256, -200298944]$ \(y^2=x^3-x^2-642256x-200298944\) 88.2.0.? $[(1296, 33800), (4000, 247416)]$
446160.c1 446160.c \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -7753776, -8292613824]$ \(y^2=x^3-x^2-7753776x-8292613824\) 2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? $[ ]$
446160.c2 446160.c \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -317776, -220092224]$ \(y^2=x^3-x^2-317776x-220092224\) 2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? $[ ]$
446160.d1 446160.d \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -5126, 245751]$ \(y^2=x^3-x^2-5126x+245751\) 110.2.0.? $[ ]$
446160.e1 446160.e \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -121, -404]$ \(y^2=x^3-x^2-121x-404\) 2.3.0.a.1, 260.6.0.?, 660.6.0.?, 858.6.0.?, 8580.12.0.? $[ ]$
446160.e2 446160.e \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 204, -2484]$ \(y^2=x^3-x^2+204x-2484\) 2.3.0.a.1, 260.6.0.?, 660.6.0.?, 1716.6.0.?, 8580.12.0.? $[ ]$
446160.f1 446160.f \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -5326936, 4661887840]$ \(y^2=x^3-x^2-5326936x+4661887840\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 88.12.0.?, 104.12.0.?, $\ldots$ $[ ]$
446160.f2 446160.f \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -679436, -104588160]$ \(y^2=x^3-x^2-679436x-104588160\) 2.6.0.a.1, 20.12.0.b.1, 44.12.0.b.1, 52.12.0-2.a.1.1, 220.24.0.?, $\ldots$ $[ ]$
446160.f3 446160.f \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -577191, -168511734]$ \(y^2=x^3-x^2-577191x-168511734\) 2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 52.12.0-4.c.1.1, $\ldots$ $[ ]$
446160.f4 446160.f \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 2332144, -781591344]$ \(y^2=x^3-x^2+2332144x-781591344\) 2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 40.12.0.z.1, 44.12.0.g.1, $\ldots$ $[ ]$
446160.g1 446160.g \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $2$ $\Z/2\Z$ $4.682720964$ $[0, -1, 0, -7382496, 7723094976]$ \(y^2=x^3-x^2-7382496x+7723094976\) 2.3.0.a.1, 156.6.0.?, 660.6.0.?, 2860.6.0.?, 8580.12.0.? $[(1570, 66), (1669, 6930)]$
446160.g2 446160.g \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $2$ $\Z/2\Z$ $1.170680241$ $[0, -1, 0, -461296, 120848896]$ \(y^2=x^3-x^2-461296x+120848896\) 2.3.0.a.1, 78.6.0.?, 660.6.0.?, 2860.6.0.?, 8580.12.0.? $[(360, 1144), (96, 8800)]$
446160.h1 446160.h \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $52.61862086$ $[0, -1, 0, -94465141, -359040445895]$ \(y^2=x^3-x^2-94465141x-359040445895\) 6.2.0.a.1 $[(68873, 17883750), (684777/7, 351463750/7)]$
446160.i1 446160.i \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $3.582340869$ $[0, -1, 0, -1290371, 564413550]$ \(y^2=x^3-x^2-1290371x+564413550\) 330.2.0.? $[(646, 52)]$
446160.j1 446160.j \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.714977639$ $[0, -1, 0, -7336, -216464]$ \(y^2=x^3-x^2-7336x-216464\) 330.2.0.? $[(-60, 64)]$
446160.k1 446160.k \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $2$ $\Z/2\Z$ $1.084353724$ $[0, -1, 0, -838816, 295977616]$ \(y^2=x^3-x^2-838816x+295977616\) 2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? $[(528, 44), (516, 520)]$
446160.k2 446160.k \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $2$ $\Z/2\Z$ $4.337414898$ $[0, -1, 0, -52316, 4658016]$ \(y^2=x^3-x^2-52316x+4658016\) 2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? $[(61, 1300), (136, 200)]$
446160.l1 446160.l \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -952909936, -11325681164864]$ \(y^2=x^3-x^2-952909936x-11325681164864\) 3.4.0.a.1, 12.8.0-3.a.1.1, 330.8.0.?, 660.16.0.? $[ ]$
446160.l2 446160.l \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 624711824, -43716965695040]$ \(y^2=x^3-x^2+624711824x-43716965695040\) 3.4.0.a.1, 12.8.0-3.a.1.2, 330.8.0.?, 660.16.0.? $[ ]$
446160.m1 446160.m \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\Z/2\Z$ $3.156077335$ $[0, -1, 0, -127365216, -525914734320]$ \(y^2=x^3-x^2-127365216x-525914734320\) 2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? $[(-7492, 87880)]$
446160.m2 446160.m \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\Z/2\Z$ $6.312154671$ $[0, -1, 0, 5553284, -33265605920]$ \(y^2=x^3-x^2+5553284x-33265605920\) 2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? $[(3048, 109400)]$
446160.n1 446160.n \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 12045419, -17553907619]$ \(y^2=x^3-x^2+12045419x-17553907619\) 1430.2.0.? $[ ]$
446160.o1 446160.o \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.684298135$ $[0, -1, 0, -246796, 49763596]$ \(y^2=x^3-x^2-246796x+49763596\) 3.4.0.a.1, 12.8.0-3.a.1.2, 330.8.0.?, 660.16.0.? $[(789, 18590)]$
446160.o2 446160.o \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $5.052894405$ $[0, -1, 0, 16844, 93820]$ \(y^2=x^3-x^2+16844x+93820\) 3.4.0.a.1, 12.8.0-3.a.1.1, 330.8.0.?, 660.16.0.? $[(45, 970)]$
446160.p1 446160.p \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $4.052280537$ $[0, -1, 0, -1433176, -3078298640]$ \(y^2=x^3-x^2-1433176x-3078298640\) 3.4.0.a.1, 12.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? $[(5938, 444690)]$
446160.p2 446160.p \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.350760179$ $[0, -1, 0, 12803384, 79744312816]$ \(y^2=x^3-x^2+12803384x+79744312816\) 3.4.0.a.1, 12.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? $[(2986, 380250)]$
446160.q1 446160.q \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $2$ $\mathsf{trivial}$ $0.477501790$ $[0, -1, 0, -7661, 260961]$ \(y^2=x^3-x^2-7661x+260961\) 6.2.0.a.1 $[(61, 130), (21, 330)]$
446160.r1 446160.r \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -45041936, 116368643520]$ \(y^2=x^3-x^2-45041936x+116368643520\) 3.4.0.a.1, 156.8.0.?, 1320.8.0.?, 17160.16.0.? $[ ]$
446160.r2 446160.r \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -223136, 348061440]$ \(y^2=x^3-x^2-223136x+348061440\) 3.4.0.a.1, 156.8.0.?, 1320.8.0.?, 17160.16.0.? $[ ]$
446160.s1 446160.s \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -7921, 274000]$ \(y^2=x^3-x^2-7921x+274000\) 3.4.0.a.1, 156.8.0.?, 330.8.0.?, 8580.16.0.? $[ ]$
446160.s2 446160.s \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -121, 220]$ \(y^2=x^3-x^2-121x+220\) 3.4.0.a.1, 156.8.0.?, 330.8.0.?, 8580.16.0.? $[ ]$
446160.t1 446160.t \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -18042496, 34562638720]$ \(y^2=x^3-x^2-18042496x+34562638720\) 17160.2.0.? $[ ]$
446160.u1 446160.u \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -323691, 70991010]$ \(y^2=x^3-x^2-323691x+70991010\) 330.2.0.? $[ ]$
446160.v1 446160.v \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\Z/2\Z$ $8.411814883$ $[0, -1, 0, -9281536, -10880639264]$ \(y^2=x^3-x^2-9281536x-10880639264\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 440.24.0.?, 520.24.0.?, $\ldots$ $[(20741, 2952750)]$
446160.v2 446160.v \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\Z/2\Z$ $8.411814883$ $[0, -1, 0, -1020816, 121655520]$ \(y^2=x^3-x^2-1020816x+121655520\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 260.12.0.?, 440.24.0.?, $\ldots$ $[(37045/6, 2730365/6)]$
446160.v3 446160.v \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.205907441$ $[0, -1, 0, -581416, -169051520]$ \(y^2=x^3-x^2-581416x-169051520\) 2.6.0.a.1, 8.12.0-2.a.1.1, 220.12.0.?, 260.12.0.?, 440.24.0.?, $\ldots$ $[(968, 13200)]$
446160.v4 446160.v \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\Z/2\Z$ $8.411814883$ $[0, -1, 0, -10196, -6368064]$ \(y^2=x^3-x^2-10196x-6368064\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 110.6.0.?, 220.12.0.?, $\ldots$ $[(5676/5, 215376/5)]$
446160.w1 446160.w \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\Z/2\Z$ $1.377511540$ $[0, -1, 0, -49571136, 134352217440]$ \(y^2=x^3-x^2-49571136x+134352217440\) 2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? $[(4068, 300)]$
446160.w2 446160.w \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $1$ $\Z/2\Z$ $2.755023081$ $[0, -1, 0, -3096136, 2102957440]$ \(y^2=x^3-x^2-3096136x+2102957440\) 2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? $[(468, 27500)]$
446160.x1 446160.x \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -10505096, 13108342896]$ \(y^2=x^3-x^2-10505096x+13108342896\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bj.1, 52.12.0-4.c.1.2, $\ldots$ $[ ]$
446160.x2 446160.x \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -3177256, -2178775184]$ \(y^2=x^3-x^2-3177256x-2178775184\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 40.24.0.cb.1, 48.24.0.h.1, $\ldots$ $[ ]$
446160.x3 446160.x \( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -689576, 183266160]$ \(y^2=x^3-x^2-689576x+183266160\) 2.6.0.a.1, 4.12.0.b.1, 24.24.0.e.1, 40.24.0.i.1, 52.24.0-4.b.1.3, $\ldots$ $[ ]$
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