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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 112710.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.l1 | 112710k1 | \([1, 1, 0, 30310748, 49525284016]\) | \(127591024063258622231/117712954934172000\) | \(-2841304571917467107868000\) | \([]\) | \(35942400\) | \(3.3795\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112710.l do not have complex multiplication.Modular form 112710.2.a.l
sage: E.q_eigenform(10)