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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 388080.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388080.e1 | 388080e1 | \([0, 0, 0, -194628, 37950892]\) | \(-37135043584/6847995\) | \(-150355447751013120\) | \([]\) | \(4423680\) | \(2.0206\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388080.e do not have complex multiplication.Modular form 388080.2.a.e
sage: E.q_eigenform(10)