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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 68400.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68400.e1 | 68400fv1 | \([0, 0, 0, -13125, -565625]\) | \(2195200/57\) | \(6492656250000\) | \([]\) | \(207360\) | \(1.2403\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68400.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 68400.e do not have complex multiplication.Modular form 68400.2.a.e
sage: E.q_eigenform(10)