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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 29624.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29624.i1 | 29624g1 | \([0, 0, 0, 253, 782]\) | \(3306204/2401\) | \(-1300612096\) | \([]\) | \(8448\) | \(0.43718\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29624.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29624.i do not have complex multiplication.Modular form 29624.2.a.i
sage: E.q_eigenform(10)