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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 400064i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
400064.i1 | 400064i1 | \([0, -1, 0, 835, 40429]\) | \(62800480256/735423899\) | \(-753074072576\) | \([]\) | \(344064\) | \(0.95988\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 400064i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 400064i do not have complex multiplication.Modular form 400064.2.a.i
sage: E.q_eigenform(10)