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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 310464.cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.cl1 | 310464cl1 | \([0, 0, 0, 3082884, -1377252016]\) | \(47061251888/39135393\) | \(-2694644559374042677248\) | \([]\) | \(12902400\) | \(2.7998\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464.cl do not have complex multiplication.Modular form 310464.2.a.cl
sage: E.q_eigenform(10)