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SageMath
E = EllipticCurve("fg1")
E.isogeny_class()
Elliptic curves in class 264600.fg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
264600.fg1 | 264600fg1 | \([0, 0, 0, -224175, 42574875]\) | \(-1568892672/78125\) | \(-62041464843750000\) | \([]\) | \(2322432\) | \(1.9833\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 264600.fg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 264600.fg do not have complex multiplication.Modular form 264600.2.a.fg
sage: E.q_eigenform(10)