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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 129285.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129285.i1 | 129285c1 | \([0, 0, 1, -10978578, -22653288421]\) | \(-1540318675894272/1442042265625\) | \(-137002785082189384921875\) | \([]\) | \(10725120\) | \(3.1360\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129285.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129285.i do not have complex multiplication.Modular form 129285.2.a.i
sage: E.q_eigenform(10)