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

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
42630.a1 42630.a \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -5495291323, 156734250467677]$ \(y^2+xy=x^3+x^2-5495291323x+156734250467677\) 2.3.0.a.1, 24.6.0.c.1, 290.6.0.?, 3480.12.0.? $[ ]$
42630.a2 42630.a \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -4628250043, 207860379992413]$ \(y^2+xy=x^3+x^2-4628250043x+207860379992413\) 2.3.0.a.1, 24.6.0.b.1, 580.6.0.?, 3480.12.0.? $[ ]$
42630.b1 42630.b \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $2$ $\Z/2\Z$ $10.30182444$ $[1, 1, 0, -494778, 133749162]$ \(y^2+xy=x^3+x^2-494778x+133749162\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 840.24.0.?, $\ldots$ $[(419, 256), (409, -95)]$
42630.b2 42630.b \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $2.575456111$ $[1, 1, 0, -31728, 1965132]$ \(y^2+xy=x^3+x^2-31728x+1965132\) 2.6.0.a.1, 12.12.0-2.a.1.1, 280.12.0.?, 812.12.0.?, 840.24.0.?, $\ldots$ $[(41, 837), (66, 372)]$
42630.b3 42630.b \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $2$ $\Z/2\Z$ $2.575456111$ $[1, 1, 0, -7228, -205568]$ \(y^2+xy=x^3+x^2-7228x-205568\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 812.12.0.?, $\ldots$ $[(111, 557), (-39, 157)]$
42630.b4 42630.b \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $2$ $\Z/2\Z$ $10.30182444$ $[1, 1, 0, 39322, 9595902]$ \(y^2+xy=x^3+x^2+39322x+9595902\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 280.12.0.?, 812.12.0.?, $\ldots$ $[(29, 3266), (1487, 57212)]$
42630.c1 42630.c \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -396043, -88038803]$ \(y^2+xy=x^3+x^2-396043x-88038803\) 2.3.0.a.1, 140.6.0.?, 1218.6.0.?, 1740.6.0.?, 12180.12.0.? $[ ]$
42630.c2 42630.c \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 461457, -416118303]$ \(y^2+xy=x^3+x^2+461457x-416118303\) 2.3.0.a.1, 70.6.0.a.1, 1740.6.0.?, 2436.6.0.?, 12180.12.0.? $[ ]$
42630.d1 42630.d \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -1509078, 329741028]$ \(y^2+xy=x^3+x^2-1509078x+329741028\) 1740.2.0.? $[ ]$
42630.e1 42630.e \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\Z/2\Z$ $4.684087320$ $[1, 1, 0, -18746543, -31188976587]$ \(y^2+xy=x^3+x^2-18746543x-31188976587\) 2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? $[(-2582, 4365)]$
42630.e2 42630.e \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\Z/2\Z$ $9.368174641$ $[1, 1, 0, -1596543, -102886587]$ \(y^2+xy=x^3+x^2-1596543x-102886587\) 2.3.0.a.1, 28.6.0.b.1, 348.6.0.?, 1218.6.0.?, 2436.12.0.? $[(46238, 9915865)]$
42630.f1 42630.f \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\Z/2\Z$ $0.640082695$ $[1, 1, 0, -1091353, 438375253]$ \(y^2+xy=x^3+x^2-1091353x+438375253\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 58.6.0.a.1, $\ldots$ $[(601, -374)]$
42630.f2 42630.f \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.280165391$ $[1, 1, 0, -68233, 6823237]$ \(y^2+xy=x^3+x^2-68233x+6823237\) 2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 116.12.0.?, 140.24.0.?, $\ldots$ $[(162, 151)]$
42630.f3 42630.f \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\Z/2\Z$ $0.640082695$ $[1, 1, 0, -48633, 10849077]$ \(y^2+xy=x^3+x^2-48633x+10849077\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$ $[(62, 2811)]$
42630.f4 42630.f \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\Z/2\Z$ $2.560330782$ $[1, 1, 0, -5513, 36933]$ \(y^2+xy=x^3+x^2-5513x+36933\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$ $[(-29, 431)]$
42630.g1 42630.g \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $10.54287121$ $[1, 1, 0, -34003, -2809043]$ \(y^2+xy=x^3+x^2-34003x-2809043\) 1160.2.0.? $[(43999/14, 2342969/14)]$
42630.h1 42630.h \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -124093, 16773373]$ \(y^2+xy=x^3+x^2-124093x+16773373\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0.cc.1, $\ldots$ $[ ]$
42630.h2 42630.h \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -118213, 18442117]$ \(y^2+xy=x^3+x^2-118213x+18442117\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0.cb.1, $\ldots$ $[ ]$
42630.h3 42630.h \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -2818, -22112]$ \(y^2+xy=x^3+x^2-2818x-22112\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0.cc.1, $\ldots$ $[ ]$
42630.h4 42630.h \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 10412, -157058]$ \(y^2+xy=x^3+x^2+10412x-157058\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0.cb.1, $\ldots$ $[ ]$
42630.i1 42630.i \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -7228, -335222]$ \(y^2+xy=x^3+x^2-7228x-335222\) 4872.2.0.? $[ ]$
42630.j1 42630.j \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $3.703513931$ $[1, 1, 0, 3552, -12312]$ \(y^2+xy=x^3+x^2+3552x-12312\) 1160.2.0.? $[(21, 258)]$
42630.k1 42630.k \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -368, -19662]$ \(y^2+xy=x^3+x^2-368x-19662\) 3.4.0.a.1, 21.8.0-3.a.1.1, 3480.8.0.?, 24360.16.0.? $[ ]$
42630.k2 42630.k \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 3307, 519093]$ \(y^2+xy=x^3+x^2+3307x+519093\) 3.4.0.a.1, 21.8.0-3.a.1.2, 3480.8.0.?, 24360.16.0.? $[ ]$
42630.l1 42630.l \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $0.780387406$ $[1, 1, 0, -10588, 415192]$ \(y^2+xy=x^3+x^2-10588x+415192\) 40.2.0.a.1 $[(49, 106)]$
42630.m1 42630.m \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -25693812, 50118509904]$ \(y^2+xy=x^3+x^2-25693812x+50118509904\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0.ca.1, $\ldots$ $[ ]$
42630.m2 42630.m \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -1609332, 779044176]$ \(y^2+xy=x^3+x^2-1609332x+779044176\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0.cd.1, $\ldots$ $[ ]$
42630.m3 42630.m \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -350277, 53407341]$ \(y^2+xy=x^3+x^2-350277x+53407341\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0.ca.1, $\ldots$ $[ ]$
42630.m4 42630.m \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -138597, -19283571]$ \(y^2+xy=x^3+x^2-138597x-19283571\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0.cd.1, $\ldots$ $[ ]$
42630.n1 42630.n \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $1.678179344$ $[1, 1, 0, 2523, -373491]$ \(y^2+xy=x^3+x^2+2523x-373491\) 1160.2.0.? $[(69, 333)]$
42630.o1 42630.o \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $0.332685317$ $[1, 1, 0, 38, 3886]$ \(y^2+xy=x^3+x^2+38x+3886\) 1160.2.0.? $[(7, 64)]$
42630.p1 42630.p \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $98.81091296$ $[1, 1, 0, -24032635477, 1387598270974189]$ \(y^2+xy=x^3+x^2-24032635477x+1387598270974189\) 1740.2.0.? $[(9348483684981246059333758563178325035190586/16433635325347477007, 108378287714090367135246282154061594667709430490400102823283733429/16433635325347477007)]$
42630.q1 42630.q \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -121850852, -206882919984]$ \(y^2+xy=x^3+x^2-121850852x-206882919984\) 2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? $[ ]$
42630.q2 42630.q \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -64506852, 197151435216]$ \(y^2+xy=x^3+x^2-64506852x+197151435216\) 2.3.0.a.1, 28.6.0.b.1, 348.6.0.?, 1218.6.0.?, 2436.12.0.? $[ ]$
42630.r1 42630.r \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -181227, -29770551]$ \(y^2+xy=x^3+x^2-181227x-29770551\) 2.3.0.a.1, 24.6.0.c.1, 290.6.0.?, 3480.12.0.? $[ ]$
42630.r2 42630.r \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -179757, -30275349]$ \(y^2+xy=x^3+x^2-179757x-30275349\) 2.3.0.a.1, 24.6.0.b.1, 580.6.0.?, 3480.12.0.? $[ ]$
42630.s1 42630.s \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $3.669127782$ $[1, 1, 0, -43012, -3632264]$ \(y^2+xy=x^3+x^2-43012x-3632264\) 3.4.0.a.1, 21.8.0-3.a.1.1, 1160.2.0.?, 3480.8.0.?, 24360.16.0.? $[(15967, 2009524)]$
42630.s2 42630.s \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $1.223042594$ $[1, 1, 0, 237653, -5209091]$ \(y^2+xy=x^3+x^2+237653x-5209091\) 3.4.0.a.1, 21.8.0-3.a.1.2, 1160.2.0.?, 3480.8.0.?, 24360.16.0.? $[(253, 8311)]$
42630.t1 42630.t \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -435359047, 3496205424181]$ \(y^2+xy=x^3+x^2-435359047x+3496205424181\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0.cc.1, $\ldots$ $[ ]$
42630.t2 42630.t \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -435306127, 3497097941149]$ \(y^2+xy=x^3+x^2-435306127x+3497097941149\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0.cb.1, $\ldots$ $[ ]$
42630.t3 42630.t \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -5456812, 4639954684]$ \(y^2+xy=x^3+x^2-5456812x+4639954684\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0.cc.1, $\ldots$ $[ ]$
42630.t4 42630.t \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 4187858, 19286350546]$ \(y^2+xy=x^3+x^2+4187858x+19286350546\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0.cb.1, $\ldots$ $[ ]$
42630.u1 42630.u \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\Z/2\Z$ $3.307906502$ $[1, 1, 0, -392172, -3136944]$ \(y^2+xy=x^3+x^2-392172x-3136944\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.b.1, 21.8.0-3.a.1.2, $\ldots$ $[(-253, 9069)]$
42630.u2 42630.u \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\Z/2\Z$ $9.923719507$ $[1, 1, 0, -273837, -55269171]$ \(y^2+xy=x^3+x^2-273837x-55269171\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.b.1, 21.8.0-3.a.1.1, $\ldots$ $[(33254/5, 5417123/5)]$
42630.u3 42630.u \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\Z/2\Z$ $4.961859753$ $[1, 1, 0, -268937, -57335991]$ \(y^2+xy=x^3+x^2-268937x-57335991\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 21.8.0-3.a.1.1, $\ldots$ $[(784, 14253)]$
42630.u4 42630.u \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $1$ $\Z/2\Z$ $1.653953251$ $[1, 1, 0, 1567828, -23128944]$ \(y^2+xy=x^3+x^2+1567828x-23128944\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 21.8.0-3.a.1.2, $\ldots$ $[(272, 20444)]$
42630.v1 42630.v \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -497522, -148211244]$ \(y^2+xy=x^3+x^2-497522x-148211244\) 3.4.0.a.1, 21.8.0-3.a.1.1, 3480.8.0.?, 24360.16.0.? $[ ]$
42630.v2 42630.v \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 3147343, 250767189]$ \(y^2+xy=x^3+x^2+3147343x+250767189\) 3.4.0.a.1, 21.8.0-3.a.1.2, 3480.8.0.?, 24360.16.0.? $[ ]$
42630.w1 42630.w \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -265017, 52401861]$ \(y^2+xy=x^3+x^2-265017x+52401861\) 24360.2.0.? $[ ]$
42630.x1 42630.x \( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -4255822, -94399005644]$ \(y^2+xy=x^3+x^2-4255822x-94399005644\) 580.2.0.? $[ ]$
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