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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 6760.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6760.g1 | 6760j1 | \([0, -1, 0, -420, 3457]\) | \(3037375744/25\) | \(67600\) | \([]\) | \(1152\) | \(0.097129\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6760.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6760.g do not have complex multiplication.Modular form 6760.2.a.g
sage: E.q_eigenform(10)