Learn more

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

Refine search


Results (1-50 of 142 matches)

Next   displayed columns for results
Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
10800.a1 10800.a \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $-3$ $0.878596604$ $[0, 0, 0, 0, -25]$ \(y^2=x^3-25\) $[(5, 10)]$
10800.a2 10800.a \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $-3$ $2.635789813$ $[0, 0, 0, 0, 675]$ \(y^2=x^3+675\) $[(1, 26)]$
10800.b1 10800.b \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $1.222937703$ $[0, 0, 0, -12825, 570375]$ \(y^2=x^3-12825x+570375\) 3.4.0.a.1, 12.8.0-3.a.1.3, 30.8.0.b.1, 60.16.0-30.b.1.1 $[(70, 125)]$
10800.b2 10800.b \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.407645901$ $[0, 0, 0, 675, 3375]$ \(y^2=x^3+675x+3375\) 3.4.0.a.1, 12.8.0-3.a.1.4, 30.8.0.b.1, 60.16.0-30.b.1.3 $[(30, 225)]$
10800.c1 10800.c \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $1.442191478$ $[0, 0, 0, -178875, 35606250]$ \(y^2=x^3-178875x+35606250\) 120.2.0.? $[(-275, 8000)]$
10800.d1 10800.d \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -71820, -7408260]$ \(y^2=x^3-71820x-7408260\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 $[ ]$
10800.e1 10800.e \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $9.022070123$ $[0, 0, 0, -1636875, 763256250]$ \(y^2=x^3-1636875x+763256250\) 3.4.0.a.1, 12.8.0.b.1, 30.8.0-3.a.1.1, 60.16.0-12.b.1.2 $[(-7889/3, 1054234/3)]$
10800.e2 10800.e \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $3.007356707$ $[0, 0, 0, -286875, -58893750]$ \(y^2=x^3-286875x-58893750\) 3.4.0.a.1, 12.8.0.b.1, 30.8.0-3.a.1.2, 60.16.0-12.b.1.4 $[(-321, 342)]$
10800.f1 10800.f \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.990410709$ $[0, 0, 0, -4575, 124125]$ \(y^2=x^3-4575x+124125\) 30.2.0.a.1 $[(220, 3125)]$
10800.g1 10800.g \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.312885985$ $[0, 0, 0, 45, 50]$ \(y^2=x^3+45x+50\) 120.2.0.? $[(5, 20)]$
10800.h1 10800.h \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $[0, 0, 0, 0, -50000]$ \(y^2=x^3-50000\) $[ ]$
10800.h2 10800.h \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $-3$ $1$ $[0, 0, 0, 0, 1350000]$ \(y^2=x^3+1350000\) $[ ]$
10800.i1 10800.i \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $-3$ $1.367904124$ $[0, 0, 0, 0, -20]$ \(y^2=x^3-20\) $[(6, 14)]$
10800.i2 10800.i \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $-3$ $0.455968041$ $[0, 0, 0, 0, 540]$ \(y^2=x^3+540\) $[(-6, 18)]$
10800.j1 10800.j \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.413472129$ $[0, 0, 0, 405, -1350]$ \(y^2=x^3+405x-1350\) 120.2.0.? $[(15, 90)]$
10800.k1 10800.k \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -41175, -3351375]$ \(y^2=x^3-41175x-3351375\) 30.2.0.a.1 $[ ]$
10800.l1 10800.l \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -181875, -28268750]$ \(y^2=x^3-181875x-28268750\) 3.4.0.a.1, 12.8.0.b.1, 30.8.0-3.a.1.2, 60.16.0-12.b.1.4 $[ ]$
10800.l2 10800.l \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -31875, 2181250]$ \(y^2=x^3-31875x+2181250\) 3.4.0.a.1, 12.8.0.b.1, 30.8.0-3.a.1.1, 60.16.0-12.b.1.2 $[ ]$
10800.m1 10800.m \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -7980, 274380]$ \(y^2=x^3-7980x+274380\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 $[ ]$
10800.n1 10800.n \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $1.721881127$ $[0, 0, 0, -19875, -1318750]$ \(y^2=x^3-19875x-1318750\) 120.2.0.? $[(175, 750)]$
10800.o1 10800.o \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1425, -21125]$ \(y^2=x^3-1425x-21125\) 3.4.0.a.1, 12.8.0-3.a.1.4, 30.8.0.b.1, 60.16.0-30.b.1.3 $[ ]$
10800.o2 10800.o \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 75, -125]$ \(y^2=x^3+75x-125\) 3.4.0.a.1, 12.8.0-3.a.1.3, 30.8.0.b.1, 60.16.0-30.b.1.1 $[ ]$
10800.p1 10800.p \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $2$ $\mathsf{trivial}$ $0.098731606$ $[0, 0, 0, -75, 650]$ \(y^2=x^3-75x+650\) 6.2.0.a.1 $[(-5, 30), (5, 20)]$
10800.q1 10800.q \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $2.251345576$ $[0, 0, 0, -2700, 67500]$ \(y^2=x^3-2700x+67500\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 $[(25, 125)]$
10800.r1 10800.r \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -10800, 918000]$ \(y^2=x^3-10800x+918000\) 6.2.0.a.1 $[ ]$
10800.s1 10800.s \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1200, -34000]$ \(y^2=x^3-1200x-34000\) 6.2.0.a.1 $[ ]$
10800.t1 10800.t \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -675, -17550]$ \(y^2=x^3-675x-17550\) 6.2.0.a.1 $[ ]$
10800.u1 10800.u \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $1.228109651$ $[0, 0, 0, -300, -2500]$ \(y^2=x^3-300x-2500\) 4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 $[(25, 75)]$
10800.v1 10800.v \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.400677926$ $[0, 0, 0, -75, -150]$ \(y^2=x^3-75x-150\) 12.2.0.a.1 $[(-5, 10)]$
10800.w1 10800.w \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $6.249341727$ $[0, 0, 0, -138375, 19811250]$ \(y^2=x^3-138375x+19811250\) 3.4.0.a.1, 6.8.0-3.a.1.1, 12.16.0-12.b.1.3 $[(-266, 6148)]$
10800.w2 10800.w \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $2.083113909$ $[0, 0, 0, -3375, -33750]$ \(y^2=x^3-3375x-33750\) 3.4.0.a.1, 6.8.0-3.a.1.2, 12.16.0-12.b.1.1 $[(-50, 100)]$
10800.x1 10800.x \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -3915, -94230]$ \(y^2=x^3-3915x-94230\) 12.2.0.a.1 $[ ]$
10800.y1 10800.y \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $3.562932219$ $[0, 0, 0, -124875, 16976250]$ \(y^2=x^3-124875x+16976250\) 3.4.0.a.1, 6.8.0-3.a.1.1, 12.16.0-12.b.1.3 $[(199, 82)]$
10800.y2 10800.y \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $1.187644073$ $[0, 0, 0, -4875, -103750]$ \(y^2=x^3-4875x-103750\) 3.4.0.a.1, 6.8.0-3.a.1.2, 12.16.0-12.b.1.1 $[(-25, 50)]$
10800.z1 10800.z \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 3375, 84375]$ \(y^2=x^3+3375x+84375\) 30.2.0.a.1 $[ ]$
10800.ba1 10800.ba \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -135, -675]$ \(y^2=x^3-135x-675\) 30.2.0.a.1 $[ ]$
10800.bb1 10800.bb \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 7425, 509625]$ \(y^2=x^3+7425x+509625\) 30.2.0.a.1 $[ ]$
10800.bc1 10800.bc \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $1.432419238$ $[0, 0, 0, 825, -18875]$ \(y^2=x^3+825x-18875\) 30.2.0.a.1 $[(20, 75)]$
10800.bd1 10800.bd \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.971583027$ $[0, 0, 0, 375, -3125]$ \(y^2=x^3+375x-3125\) 30.2.0.a.1 $[(50, 375)]$
10800.be1 10800.be \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.613759228$ $[0, 0, 0, -15, 25]$ \(y^2=x^3-15x+25\) 30.2.0.a.1 $[(0, 5)]$
10800.bf1 10800.bf \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -15375, -733750]$ \(y^2=x^3-15375x-733750\) 3.4.0.a.1, 6.8.0-3.a.1.2, 12.16.0-12.b.1.1 $[ ]$
10800.bf2 10800.bf \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -375, 1250]$ \(y^2=x^3-375x+1250\) 3.4.0.a.1, 6.8.0-3.a.1.1, 12.16.0-12.b.1.3 $[ ]$
10800.bg1 10800.bg \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.314452601$ $[0, 0, 0, -435, 3490]$ \(y^2=x^3-435x+3490\) 12.2.0.a.1 $[(11, 6)]$
10800.bh1 10800.bh \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -43875, 2801250]$ \(y^2=x^3-43875x+2801250\) 3.4.0.a.1, 6.8.0-3.a.1.1, 12.16.0-12.b.1.3 $[ ]$
10800.bh2 10800.bh \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -13875, -628750]$ \(y^2=x^3-13875x-628750\) 3.4.0.a.1, 6.8.0-3.a.1.2, 12.16.0-12.b.1.1 $[ ]$
10800.bi1 10800.bi \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -675, 4050]$ \(y^2=x^3-675x+4050\) 12.2.0.a.1 $[ ]$
10800.bj1 10800.bj \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.707382161$ $[0, 0, 0, -1800, 29500]$ \(y^2=x^3-1800x+29500\) 3.4.0.a.1, 6.8.0.b.1, 60.16.0-6.b.1.1 $[(30, 50)]$
10800.bj2 10800.bj \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $2.122146484$ $[0, 0, 0, 4200, 155500]$ \(y^2=x^3+4200x+155500\) 3.4.0.a.1, 6.8.0.b.1, 60.16.0-6.b.1.2 $[(-30, 50)]$
10800.bk1 10800.bk \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -750, -8125]$ \(y^2=x^3-750x-8125\) 6.2.0.a.1 $[ ]$
10800.bl1 10800.bl \( 2^{4} \cdot 3^{3} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -11475, 479250]$ \(y^2=x^3-11475x+479250\) 3.4.0.a.1, 9.36.0.d.2, 24.8.0.d.1, 60.8.0-3.a.1.1, 72.72.3.?, $\ldots$ $[ ]$
Next   displayed columns for results