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SageMath
E = EllipticCurve("fg1")
E.isogeny_class()
Elliptic curves in class 35280fg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35280.et1 | 35280fg1 | \([0, 0, 0, -49392, -7260624]\) | \(-110592/125\) | \(-15061903105536000\) | \([]\) | \(188160\) | \(1.7986\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35280fg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35280fg do not have complex multiplication.Modular form 35280.2.a.fg
sage: E.q_eigenform(10)