Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 666.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
666.g1 | 666g1 | \([1, -1, 1, -1640858, -808607271]\) | \(-670206957616537490521/6109179936768\) | \(-4453592173903872\) | \([]\) | \(19872\) | \(2.1673\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 666.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 666.g do not have complex multiplication.Modular form 666.2.a.g
sage: E.q_eigenform(10)