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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 185150ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185150.w1 | 185150ci1 | \([1, 0, 1, 874, 4648]\) | \(8947391/6272\) | \(-51842000000\) | \([]\) | \(161280\) | \(0.74447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185150ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185150ci do not have complex multiplication.Modular form 185150.2.a.ci
sage: E.q_eigenform(10)