Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 69366.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69366.t1 | 69366t1 | \([1, 0, 0, -259, -1831]\) | \(-1921886786737/302158296\) | \(-302158296\) | \([]\) | \(27648\) | \(0.35567\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69366.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69366.t do not have complex multiplication.Modular form 69366.2.a.t
sage: E.q_eigenform(10)