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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 92416.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92416.e1 | 92416j1 | \([0, -1, 0, -420685, 105169301]\) | \(-14795072\) | \(-556517393727488\) | \([]\) | \(1138176\) | \(1.8843\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92416.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92416.e do not have complex multiplication.Modular form 92416.2.a.e
sage: E.q_eigenform(10)