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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 69828e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69828.g1 | 69828e1 | \([0, -1, 0, 54, -351]\) | \(87808/297\) | \(-57817584\) | \([]\) | \(17280\) | \(0.17246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69828e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69828e do not have complex multiplication.Modular form 69828.2.a.e
sage: E.q_eigenform(10)