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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 24400i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24400.u1 | 24400i1 | \([0, 1, 0, 392, 1588]\) | \(5191150/3721\) | \(-4762880000\) | \([]\) | \(10752\) | \(0.54541\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24400i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24400i do not have complex multiplication.Modular form 24400.2.a.i
sage: E.q_eigenform(10)