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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 329672.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
329672.i1 | 329672i1 | \([0, -1, 0, -673080, -197137751]\) | \(12544\) | \(2688365851367710864\) | \([]\) | \(4214784\) | \(2.2797\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 329672.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 329672.i do not have complex multiplication.Modular form 329672.2.a.i
sage: E.q_eigenform(10)