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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 301530.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
301530.e1 | 301530e1 | \([1, 1, 0, -56941815253, 5237153166207853]\) | \(-260732367312263942034228889/419002377656250000000\) | \(-32812489029342597027656250000000\) | \([]\) | \(1406496000\) | \(4.9448\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301530.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 301530.e do not have complex multiplication.Modular form 301530.2.a.e
sage: E.q_eigenform(10)