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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 202160.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202160.cg1 | 202160bm1 | \([0, 1, 0, -59853920, 390827507060]\) | \(-17941516933339/39546534860\) | \(-52269794464196067639050240\) | \([]\) | \(43338240\) | \(3.6236\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202160.cg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 202160.cg do not have complex multiplication.Modular form 202160.2.a.cg
sage: E.q_eigenform(10)