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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 1950.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1950.e1 | 1950c1 | \([1, 1, 0, 50, 250]\) | \(34295/78\) | \(-30468750\) | \([]\) | \(840\) | \(0.12010\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1950.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1950.e do not have complex multiplication.Modular form 1950.2.a.e
sage: E.q_eigenform(10)