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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 (46 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
18900.a1 18900.a \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $2$ $\mathsf{trivial}$ $0.177853832$ $[0, 0, 0, 135, 2025]$ \(y^2=x^3+135x+2025\) 30.2.0.a.1 $[(9, 63), (0, 45)]$
18900.b1 18900.b \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -3729375, -2772056250]$ \(y^2=x^3-3729375x-2772056250\) 3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.1, 60.16.0-12.b.1.3 $[ ]$
18900.b2 18900.b \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -54375, -2331250]$ \(y^2=x^3-54375x-2331250\) 3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.2, 60.16.0-12.b.1.1 $[ ]$
18900.c1 18900.c \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -24975, -1694250]$ \(y^2=x^3-24975x-1694250\) 3.4.0.a.1, 15.8.0-3.a.1.1, 84.8.0.?, 420.16.0.? $[ ]$
18900.c2 18900.c \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 2025, 6750]$ \(y^2=x^3+2025x+6750\) 3.4.0.a.1, 15.8.0-3.a.1.2, 84.8.0.?, 420.16.0.? $[ ]$
18900.d1 18900.d \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -19575, -1127250]$ \(y^2=x^3-19575x-1127250\) 3.4.0.a.1, 15.8.0-3.a.1.1, 84.8.0.?, 420.16.0.? $[ ]$
18900.d2 18900.d \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 1425, -250]$ \(y^2=x^3+1425x-250\) 3.4.0.a.1, 15.8.0-3.a.1.2, 84.8.0.?, 420.16.0.? $[ ]$
18900.e1 18900.e \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $2.802188599$ $[0, 0, 0, -5400, -153900]$ \(y^2=x^3-5400x-153900\) 6.2.0.a.1 $[(85, 35)]$
18900.f1 18900.f \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -9554625, -11525709375]$ \(y^2=x^3-9554625x-11525709375\) 30.2.0.a.1 $[ ]$
18900.g1 18900.g \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.836758371$ $[0, 0, 0, -57375, -5096250]$ \(y^2=x^3-57375x-5096250\) 12.2.0.a.1 $[(-125, 350)]$
18900.h1 18900.h \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -59400, -5521500]$ \(y^2=x^3-59400x-5521500\) 3.4.0.a.1, 15.8.0-3.a.1.1, 42.8.0.b.1, 210.16.0.? $[ ]$
18900.h2 18900.h \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -5400, 148500]$ \(y^2=x^3-5400x+148500\) 3.4.0.a.1, 15.8.0-3.a.1.2, 42.8.0.b.1, 210.16.0.? $[ ]$
18900.i1 18900.i \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $4.932695883$ $[0, 0, 0, -6600, 204500]$ \(y^2=x^3-6600x+204500\) 3.4.0.a.1, 15.8.0-3.a.1.2, 42.8.0.b.1, 210.16.0.? $[(-91, 227)]$
18900.i2 18900.i \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.644231961$ $[0, 0, 0, -600, -5500]$ \(y^2=x^3-600x-5500\) 3.4.0.a.1, 15.8.0-3.a.1.1, 42.8.0.b.1, 210.16.0.? $[(-16, 2)]$
18900.j1 18900.j \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.475487701$ $[0, 0, 0, -825, -13375]$ \(y^2=x^3-825x-13375\) 3.4.0.a.1, 6.8.0-3.a.1.1, 15.8.0-3.a.1.1, 30.16.0-30.b.1.3 $[(95, 875)]$
18900.j2 18900.j \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.426463103$ $[0, 0, 0, 6675, 196625]$ \(y^2=x^3+6675x+196625\) 3.4.0.a.1, 6.8.0-3.a.1.2, 15.8.0-3.a.1.2, 30.16.0-30.b.1.1 $[(305/2, 8575/2)]$
18900.k1 18900.k \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -7425, 361125]$ \(y^2=x^3-7425x+361125\) 3.4.0.a.1, 6.8.0-3.a.1.2, 15.8.0-3.a.1.2, 30.16.0-30.b.1.1 $[ ]$
18900.k2 18900.k \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 60075, -5308875]$ \(y^2=x^3+60075x-5308875\) 3.4.0.a.1, 6.8.0-3.a.1.1, 15.8.0-3.a.1.1, 30.16.0-30.b.1.3 $[ ]$
18900.l1 18900.l \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -6375, 188750]$ \(y^2=x^3-6375x+188750\) 12.2.0.a.1 $[ ]$
18900.m1 18900.m \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.503684008$ $[0, 0, 0, -600, 5700]$ \(y^2=x^3-600x+5700\) 6.2.0.a.1 $[(16, 14)]$
18900.n1 18900.n \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.722346773$ $[0, 0, 0, -1061625, 426878125]$ \(y^2=x^3-1061625x+426878125\) 30.2.0.a.1 $[(1556, 50421)]$
18900.o1 18900.o \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.254103657$ $[0, 0, 0, -489375, 62943750]$ \(y^2=x^3-489375x+62943750\) 3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.1, 60.16.0-12.b.1.3 $[(51, 6174)]$
18900.o2 18900.o \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $3.762310971$ $[0, 0, 0, -414375, 102668750]$ \(y^2=x^3-414375x+102668750\) 3.4.0.a.1, 12.8.0.b.1, 15.8.0-3.a.1.2, 60.16.0-12.b.1.1 $[(1481/2, 371/2)]$
18900.p1 18900.p \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2775, 62750]$ \(y^2=x^3-2775x+62750\) 3.4.0.a.1, 15.8.0-3.a.1.2, 84.8.0.?, 420.16.0.? $[ ]$
18900.p2 18900.p \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 225, -250]$ \(y^2=x^3+225x-250\) 3.4.0.a.1, 15.8.0-3.a.1.1, 84.8.0.?, 420.16.0.? $[ ]$
18900.q1 18900.q \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.181364789$ $[0, 0, 0, -2175, 41750]$ \(y^2=x^3-2175x+41750\) 3.4.0.a.1, 15.8.0-3.a.1.2, 84.8.0.?, 420.16.0.? $[(-10, 250)]$
18900.q2 18900.q \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.393788263$ $[0, 0, 0, 12825, 6750]$ \(y^2=x^3+12825x+6750\) 3.4.0.a.1, 15.8.0-3.a.1.1, 84.8.0.?, 420.16.0.? $[(15, 450)]$
18900.r1 18900.r \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.026056692$ $[0, 0, 0, 15, -75]$ \(y^2=x^3+15x-75\) 30.2.0.a.1 $[(4, 7)]$
18900.s1 18900.s \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 3375, 253125]$ \(y^2=x^3+3375x+253125\) 30.2.0.a.1 $[ ]$
18900.t1 18900.t \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1732575, -879462250]$ \(y^2=x^3-1732575x-879462250\) 420.2.0.? $[ ]$
18900.u1 18900.u \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $3.718739091$ $[0, 0, 0, -149175, -22176450]$ \(y^2=x^3-149175x-22176450\) 3.8.0-3.a.1.1, 12.16.0-12.b.1.2 $[(-2006/3, 28/3)]$
18900.u2 18900.u \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\Z/3\Z$ $1.239579697$ $[0, 0, 0, -2175, -18650]$ \(y^2=x^3-2175x-18650\) 3.8.0-3.a.1.2, 12.16.0-12.b.1.4 $[(-9, 14)]$
18900.v1 18900.v \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -382185, -92205675]$ \(y^2=x^3-382185x-92205675\) 30.2.0.a.1 $[ ]$
18900.w1 18900.w \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -135000, -19237500]$ \(y^2=x^3-135000x-19237500\) 6.2.0.a.1 $[ ]$
18900.x1 18900.x \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.422723326$ $[0, 0, 0, 68175, 6206625]$ \(y^2=x^3+68175x+6206625\) 30.2.0.a.1 $[(145, 4375)]$
18900.y1 18900.y \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $2.182410643$ $[0, 0, 0, -1200, -15500]$ \(y^2=x^3-1200x-15500\) 42.2.0.a.1 $[(-19, 21)]$
18900.z1 18900.z \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2295, -40770]$ \(y^2=x^3-2295x-40770\) 12.2.0.a.1 $[ ]$
18900.ba1 18900.ba \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.152503448$ $[0, 0, 0, -255, 1510]$ \(y^2=x^3-255x+1510\) 12.2.0.a.1 $[(-1, 42)]$
18900.bb1 18900.bb \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.153201625$ $[0, 0, 0, -42465, 3415025]$ \(y^2=x^3-42465x+3415025\) 30.2.0.a.1 $[(125, 245)]$
18900.bc1 18900.bc \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -15000, 712500]$ \(y^2=x^3-15000x+712500\) 6.2.0.a.1 $[ ]$
18900.bd1 18900.bd \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -10800, 418500]$ \(y^2=x^3-10800x+418500\) 42.2.0.a.1 $[ ]$
18900.be1 18900.be \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 7575, -229875]$ \(y^2=x^3+7575x-229875\) 30.2.0.a.1 $[ ]$
18900.bf1 18900.bf \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -19575, 503550]$ \(y^2=x^3-19575x+503550\) 3.8.0-3.a.1.1, 12.16.0-12.b.1.2 $[ ]$
18900.bf2 18900.bf \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $0$ $\Z/3\Z$ $1$ $[0, 0, 0, -16575, 821350]$ \(y^2=x^3-16575x+821350\) 3.8.0-3.a.1.2, 12.16.0-12.b.1.4 $[ ]$
18900.bg1 18900.bg \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.549916386$ $[0, 0, 0, -15593175, 23745480750]$ \(y^2=x^3-15593175x+23745480750\) 420.2.0.? $[(1735, 43750)]$
18900.bh1 18900.bh \( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.846282173$ $[0, 0, 0, 375, -9375]$ \(y^2=x^3+375x-9375\) 30.2.0.a.1 $[(25, 125)]$
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