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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 281775.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
281775.l1 | 281775l1 | \([1, 1, 1, 572, 65606]\) | \(1982251/177957\) | \(-1857893324625\) | \([]\) | \(435456\) | \(1.0337\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775.l1 has rank \(2\).
Complex multiplication
The elliptic curves in class 281775.l do not have complex multiplication.Modular form 281775.2.a.l
sage: E.q_eigenform(10)