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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 234416.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
234416.e1 | 234416e1 | \([0, 1, 0, -57689, -4946285]\) | \(704988556288/59778173\) | \(1800407622470912\) | \([]\) | \(1259520\) | \(1.6687\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 234416.e do not have complex multiplication.Modular form 234416.2.a.e
sage: E.q_eigenform(10)