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SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 296240cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
296240.cg1 | 296240cg1 | \([0, 1, 0, 84464, -2669765]\) | \(28134973184/17609375\) | \(-41709111725750000\) | \([]\) | \(2027520\) | \(1.8782\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296240cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 296240cg do not have complex multiplication.Modular form 296240.2.a.cg
sage: E.q_eigenform(10)