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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 33135i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33135.k1 | 33135i1 | \([1, 0, 1, -58444, 5433017]\) | \(9993948576518041/597871125\) | \(1320697315125\) | \([]\) | \(96768\) | \(1.3872\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33135i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33135i do not have complex multiplication.Modular form 33135.2.a.i
sage: E.q_eigenform(10)