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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 7935.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7935.i1 | 7935i1 | \([0, 1, 1, -705, -20401]\) | \(-262144/1035\) | \(-153217145115\) | \([]\) | \(8448\) | \(0.83167\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7935.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7935.i do not have complex multiplication.Modular form 7935.2.a.i
sage: E.q_eigenform(10)