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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 111090.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111090.l1 | 111090k1 | \([1, 1, 0, -2326184142, -43184119407564]\) | \(-33602966923620213529/6324810240\) | \(-262014822331562022965760\) | \([]\) | \(61205760\) | \(3.8864\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111090.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 111090.l do not have complex multiplication.Modular form 111090.2.a.l
sage: E.q_eigenform(10)