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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 424128.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424128.e1 | 424128e1 | \([0, -1, 0, -108977, -5216349]\) | \(207474688/102789\) | \(70911024924965184\) | \([]\) | \(4945920\) | \(1.9264\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424128.e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 424128.e do not have complex multiplication.Modular form 424128.2.a.e
sage: E.q_eigenform(10)