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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 35322i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35322.g1 | 35322i1 | \([1, 1, 0, -75707, -8043303]\) | \(95930521/84\) | \(42020698688724\) | \([]\) | \(153120\) | \(1.5398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35322i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35322i do not have complex multiplication.Modular form 35322.2.a.i
sage: E.q_eigenform(10)