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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 8400.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8400.g1 | 8400b1 | \([0, -1, 0, -68, -633]\) | \(-88218880/413343\) | \(-165337200\) | \([]\) | \(1920\) | \(0.26162\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8400.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8400.g do not have complex multiplication.Modular form 8400.2.a.g
sage: E.q_eigenform(10)