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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 95139.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95139.e1 | 95139f1 | \([0, 0, 1, 5766, 200128]\) | \(31490048/43923\) | \(-29571019591707\) | \([]\) | \(170880\) | \(1.2705\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95139.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 95139.e do not have complex multiplication.Modular form 95139.2.a.e
sage: E.q_eigenform(10)