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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 49725l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
49725.r1 | 49725l1 | \([0, 0, 1, -360, -2599]\) | \(283115520/3757\) | \(68471325\) | \([]\) | \(13440\) | \(0.31073\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 49725l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 49725l do not have complex multiplication.Modular form 49725.2.a.l
sage: E.q_eigenform(10)