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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 32340.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32340.i1 | 32340i1 | \([0, -1, 0, -1045, -118943]\) | \(-205520896/9882675\) | \(-6074445484800\) | \([]\) | \(51840\) | \(1.1329\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32340.i do not have complex multiplication.Modular form 32340.2.a.i
sage: E.q_eigenform(10)