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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 29988.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29988.g1 | 29988r1 | \([0, 0, 0, -281799, 57578094]\) | \(10023392043504/17\) | \(4197360384\) | \([]\) | \(95040\) | \(1.5363\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29988.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29988.g do not have complex multiplication.Modular form 29988.2.a.g
sage: E.q_eigenform(10)