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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 310464a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.a1 | 310464a1 | \([0, 0, 0, -8232, -648270]\) | \(-6193152/14641\) | \(-145847436090048\) | \([]\) | \(1354752\) | \(1.4060\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464a do not have complex multiplication.Modular form 310464.2.a.a
sage: E.q_eigenform(10)