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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 7840.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7840.g1 | 7840b1 | \([0, -1, 0, -3201, 109201]\) | \(-153664/125\) | \(-2951578112000\) | \([]\) | \(8064\) | \(1.0909\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7840.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7840.g do not have complex multiplication.Modular form 7840.2.a.g
sage: E.q_eigenform(10)