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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 129285l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129285.t1 | 129285l1 | \([0, 0, 1, -1219842, 839010682]\) | \(-1540318675894272/1442042265625\) | \(-187932489824676796875\) | \([]\) | \(3575040\) | \(2.5867\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129285l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129285l do not have complex multiplication.Modular form 129285.2.a.l
sage: E.q_eigenform(10)