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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 140790cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
140790.g1 | 140790cw1 | \([1, 1, 0, -816371183, 8990312572773]\) | \(-3542891920428677761369/5782903326720000\) | \(-98214303209357739755520000\) | \([]\) | \(60060672\) | \(3.8842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 140790cw1 has rank \(2\).
Complex multiplication
The elliptic curves in class 140790cw do not have complex multiplication.Modular form 140790.2.a.cw
sage: E.q_eigenform(10)