Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 290145t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
290145.t1 | 290145t1 | \([0, 1, 1, -2064935, 786901826]\) | \(67121414144/20371905\) | \(295538199641535560445\) | \([]\) | \(8860544\) | \(2.6330\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290145t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 290145t do not have complex multiplication.Modular form 290145.2.a.t
sage: E.q_eigenform(10)