Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 11088t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11088.t1 | 11088t1 | \([0, 0, 0, -14943, 728201]\) | \(-31636584484096/1331669031\) | \(-15532587577584\) | \([]\) | \(23040\) | \(1.2978\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11088t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11088t do not have complex multiplication.Modular form 11088.2.a.t
sage: E.q_eigenform(10)