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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 365 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
445200.a1 445200.a \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $2$ $\Z/2\Z$ $1.001621483$ $[0, -1, 0, -1033408, 404509312]$ \(y^2=x^3-x^2-1033408x+404509312\) 2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.? $[(712, 5400), (552, 1400)]$
445200.a2 445200.a \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $2$ $\Z/2\Z$ $4.006485933$ $[0, -1, 0, -53408, 8589312]$ \(y^2=x^3-x^2-53408x+8589312\) 2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.? $[(202, 2450), (-38, 3250)]$
445200.b1 445200.b \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $2$ $\Z/2\Z$ $2.109658654$ $[0, -1, 0, -50408, -4088688]$ \(y^2=x^3-x^2-50408x-4088688\) 2.3.0.a.1, 60.6.0.c.1, 424.6.0.?, 6360.12.0.? $[(-128, 500), (-152, 196)]$
445200.b2 445200.b \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $2$ $\Z/2\Z$ $2.109658654$ $[0, -1, 0, 2592, -272688]$ \(y^2=x^3-x^2+2592x-272688\) 2.3.0.a.1, 30.6.0.a.1, 424.6.0.?, 6360.12.0.? $[(62, 350), (412, 8400)]$
445200.c1 445200.c \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $3.410289099$ $[0, -1, 0, 89992, -1867488]$ \(y^2=x^3-x^2+89992x-1867488\) 22260.2.0.? $[(22, 350)]$
445200.d1 445200.d \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $15.50948166$ $[0, -1, 0, -531728, -149195328]$ \(y^2=x^3-x^2-531728x-149195328\) 4452.2.0.? $[(7697434/87, 12507983254/87)]$
445200.e1 445200.e \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $2.174690788$ $[0, -1, 0, 8162, -83573]$ \(y^2=x^3-x^2+8162x-83573\) 14.2.0.a.1 $[(2113/4, 115911/4)]$
445200.f1 445200.f \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $3.924179734$ $[0, -1, 0, -533, -22563]$ \(y^2=x^3-x^2-533x-22563\) 742.2.0.? $[(68, 501)]$
445200.g1 445200.g \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $1.196314134$ $[0, -1, 0, -32573408, 71566317312]$ \(y^2=x^3-x^2-32573408x+71566317312\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0-4.c.1.5, 280.24.0.?, $\ldots$ $[(3248, 4704)]$
445200.g2 445200.g \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $4.785256539$ $[0, -1, 0, -4285408, -1750546688]$ \(y^2=x^3-x^2-4285408x-1750546688\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.1, 280.24.0.?, $\ldots$ $[(-1094, 40338)]$
445200.g3 445200.g \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.392628269$ $[0, -1, 0, -2045408, 1107693312]$ \(y^2=x^3-x^2-2045408x+1107693312\) 2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0-2.a.1.1, 280.24.0.?, 424.12.0.?, $\ldots$ $[(656, 6912)]$
445200.g4 445200.g \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $4.785256539$ $[0, -1, 0, 2592, 50925312]$ \(y^2=x^3-x^2+2592x+50925312\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.4, 280.24.0.?, $\ldots$ $[(-143, 6900)]$
445200.h1 445200.h \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $3.866976602$ $[0, -1, 0, -424408, 106561312]$ \(y^2=x^3-x^2-424408x+106561312\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 840.24.0.?, $\ldots$ $[(573, 7154)]$
445200.h2 445200.h \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $3.866976602$ $[0, -1, 0, -79408, -6568688]$ \(y^2=x^3-x^2-79408x-6568688\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 140.12.0.?, 210.6.0.?, $\ldots$ $[(-123, 1150)]$
445200.h3 445200.h \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.933488301$ $[0, -1, 0, -26908, 1621312]$ \(y^2=x^3-x^2-26908x+1621312\) 2.6.0.a.1, 12.12.0-2.a.1.1, 140.12.0.?, 420.24.0.?, 1060.12.0.?, $\ldots$ $[(52, 600)]$
445200.h4 445200.h \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $3.866976602$ $[0, -1, 0, 1217, 102562]$ \(y^2=x^3-x^2+1217x+102562\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 140.12.0.?, 742.6.0.?, $\ldots$ $[(106, 1188)]$
445200.i1 445200.i \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -921408, -339926688]$ \(y^2=x^3-x^2-921408x-339926688\) 2.3.0.a.1, 280.6.0.?, 636.6.0.?, 44520.12.0.? $[ ]$
445200.i2 445200.i \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -46408, -7426688]$ \(y^2=x^3-x^2-46408x-7426688\) 2.3.0.a.1, 280.6.0.?, 318.6.0.?, 44520.12.0.? $[ ]$
445200.j1 445200.j \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1098508, -409141988]$ \(y^2=x^3-x^2-1098508x-409141988\) 2.3.0.a.1, 60.6.0.a.1, 1484.6.0.?, 22260.12.0.? $[ ]$
445200.j2 445200.j \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 73367, -29454488]$ \(y^2=x^3-x^2+73367x-29454488\) 2.3.0.a.1, 60.6.0.b.1, 742.6.0.?, 22260.12.0.? $[ ]$
445200.k1 445200.k \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $2.415366359$ $[0, -1, 0, -8, -6288]$ \(y^2=x^3-x^2-8x-6288\) 2968.2.0.? $[(26, 102)]$
445200.l1 445200.l \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $0.454048682$ $[0, -1, 0, -7208, 432912]$ \(y^2=x^3-x^2-7208x+432912\) 1272.2.0.? $[(-8, 700)]$
445200.m1 445200.m \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $1.054458039$ $[0, -1, 0, -96208, -92929088]$ \(y^2=x^3-x^2-96208x-92929088\) 3.4.0.a.1, 12.8.0-3.a.1.1, 1272.16.0.? $[(3192, 179200)]$
445200.m2 445200.m \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $3.163374117$ $[0, -1, 0, 863792, 2476030912]$ \(y^2=x^3-x^2+863792x+2476030912\) 3.4.0.a.1, 12.8.0-3.a.1.2, 1272.16.0.? $[(3096, 186592)]$
445200.n1 445200.n \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $10.12892949$ $[0, -1, 0, -180208, -32294213]$ \(y^2=x^3-x^2-180208x-32294213\) 14.2.0.a.1 $[(31159/7, 3594849/7)]$
445200.o1 445200.o \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $25.93804782$ $[0, -1, 0, -11065208, 19725708912]$ \(y^2=x^3-x^2-11065208x+19725708912\) 3.4.0.a.1, 12.8.0-3.a.1.2, 2226.8.0.?, 4452.16.0.? $[(337095511402/5667, 187371248708771738/5667)]$
445200.o2 445200.o \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $8.646015941$ $[0, -1, 0, 1084792, -355811088]$ \(y^2=x^3-x^2+1084792x-355811088\) 3.4.0.a.1, 12.8.0-3.a.1.1, 2226.8.0.?, 4452.16.0.? $[(92578/3, 28306450/3)]$
445200.p1 445200.p \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 492, -5988]$ \(y^2=x^3-x^2+492x-5988\) 22260.2.0.? $[ ]$
445200.q1 445200.q \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $4.340359582$ $[0, -1, 0, -1405958, 642357987]$ \(y^2=x^3-x^2-1405958x+642357987\) 3.4.0.a.1, 12.8.0-3.a.1.2, 14.2.0.a.1, 42.8.0.a.1, 84.16.0.? $[(701, 873)]$
445200.q2 445200.q \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $1.446786527$ $[0, -1, 0, 11542, 3405687]$ \(y^2=x^3-x^2+11542x+3405687\) 3.4.0.a.1, 12.8.0-3.a.1.1, 14.2.0.a.1, 42.8.0.a.1, 84.16.0.? $[(197, 3645)]$
445200.r1 445200.r \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $2$ $\mathsf{trivial}$ $9.300775452$ $[0, -1, 0, -244662208, 1473066982912]$ \(y^2=x^3-x^2-244662208x+1473066982912\) 3.4.0.a.1, 12.8.0-3.a.1.2, 1272.16.0.? $[(81424/3, 71344/3), (8666, 59682)]$
445200.r2 445200.r \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $2$ $\mathsf{trivial}$ $1.033419494$ $[0, -1, 0, -2982208, 2075302912]$ \(y^2=x^3-x^2-2982208x+2075302912\) 3.4.0.a.1, 12.8.0-3.a.1.1, 1272.16.0.? $[(15328/3, 1187200/3), (-358, 55650)]$
445200.s1 445200.s \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -28208, -1848213]$ \(y^2=x^3-x^2-28208x-1848213\) 14.2.0.a.1 $[ ]$
445200.t1 445200.t \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $15.96454645$ $[0, -1, 0, -2843640408, -25649164508688]$ \(y^2=x^3-x^2-2843640408x-25649164508688\) 2.3.0.a.1, 60.6.0.c.1, 424.6.0.?, 6360.12.0.? $[(-132613503/61, 1252050785100/61)]$
445200.t2 445200.t \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $7.982273228$ $[0, -1, 0, 629767592, -3030331612688]$ \(y^2=x^3-x^2+629767592x-3030331612688\) 2.3.0.a.1, 30.6.0.a.1, 424.6.0.?, 6360.12.0.? $[(2005753/12, 5021253125/12)]$
445200.u1 445200.u \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $2$ $\mathsf{trivial}$ $2.737584667$ $[0, -1, 0, 57367, -7374363]$ \(y^2=x^3-x^2+57367x-7374363\) 1590.2.0.? $[(412, 9275), (853/2, 30475/2)]$
445200.v1 445200.v \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $3.395861440$ $[0, -1, 0, 41467, -1828563]$ \(y^2=x^3-x^2+41467x-1828563\) 1590.2.0.? $[(436, 9947)]$
445200.w1 445200.w \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1290408, -428108688]$ \(y^2=x^3-x^2-1290408x-428108688\) 2.3.0.a.1, 420.6.0.?, 424.6.0.?, 44520.12.0.? $[ ]$
445200.w2 445200.w \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -442408, 107827312]$ \(y^2=x^3-x^2-442408x+107827312\) 2.3.0.a.1, 210.6.0.?, 424.6.0.?, 44520.12.0.? $[ ]$
445200.x1 445200.x \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $41.55373086$ $[0, -1, 0, -12945451608, -454003744374288]$ \(y^2=x^3-x^2-12945451608x-454003744374288\) 2.3.0.a.1, 28.6.0.a.1, 636.6.0.?, 4452.12.0.? $[(1612303292456816785618/98056303, 43104922438956442045660257390450/98056303)]$
445200.x2 445200.x \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\Z/2\Z$ $20.77686543$ $[0, -1, 0, 1734612392, -42727071350288]$ \(y^2=x^3-x^2+1734612392x-42727071350288\) 2.3.0.a.1, 28.6.0.b.1, 318.6.0.?, 4452.12.0.? $[(232934824002/2309, 132847183980104650/2309)]$
445200.y1 445200.y \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $7.631194769$ $[0, -1, 0, 51092, -6759188]$ \(y^2=x^3-x^2+51092x-6759188\) 22260.2.0.? $[(79013/23, 24881250/23)]$
445200.z1 445200.z \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -853627608, -9599518595088]$ \(y^2=x^3-x^2-853627608x-9599518595088\) 1272.2.0.? $[ ]$
445200.ba1 445200.ba \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $10.48551330$ $[0, -1, 0, 1952, -147968]$ \(y^2=x^3-x^2+1952x-147968\) 4452.2.0.? $[(36338/29, 3004314/29)]$
445200.bb1 445200.bb \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -25580754008, 1574747101120512]$ \(y^2=x^3-x^2-25580754008x+1574747101120512\) 2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 168.24.0.?, 210.6.0.?, $\ldots$ $[ ]$
445200.bb2 445200.bb \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -1660441508, 22605863620512]$ \(y^2=x^3-x^2-1660441508x+22605863620512\) 2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 84.24.0.?, 420.48.0.? $[ ]$
445200.bb3 445200.bb \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -439738383, -3197359035738]$ \(y^2=x^3-x^2-439738383x-3197359035738\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$ $[ ]$
445200.bb4 445200.bb \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 2728620992, 121851344870512]$ \(y^2=x^3-x^2+2728620992x+121851344870512\) 2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 168.24.0.?, 840.48.0.? $[ ]$
445200.bc1 445200.bc \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $12.66156716$ $[0, -1, 0, -567208, 1079692912]$ \(y^2=x^3-x^2-567208x+1079692912\) 3.4.0.a.1, 12.8.0-3.a.1.2, 2968.2.0.?, 8904.16.0.? $[(990154/13, 979671954/13)]$
445200.bc2 445200.bc \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \) $1$ $\mathsf{trivial}$ $4.220522389$ $[0, -1, 0, 62792, -39187088]$ \(y^2=x^3-x^2+62792x-39187088\) 3.4.0.a.1, 12.8.0-3.a.1.1, 2968.2.0.?, 8904.16.0.? $[(5842, 446850)]$
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