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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 279174.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.g1 | 279174g1 | \([1, 1, 0, 935632, -242899656]\) | \(3752707016986199/3231049323096\) | \(-77989675978632993624\) | \([]\) | \(8211456\) | \(2.5045\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 279174.g do not have complex multiplication.Modular form 279174.2.a.g
sage: E.q_eigenform(10)