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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 5780.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5780.e1 | 5780a1 | \([0, -1, 0, -181, -879]\) | \(8912896/5\) | \(369920\) | \([]\) | \(1512\) | \(0.015536\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5780.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5780.e do not have complex multiplication.Modular form 5780.2.a.e
sage: E.q_eigenform(10)