Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 11025t
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 11025.f1 | 11025t1 | \([0, 0, 1, -69825, -11703344]\) | \(-1376628736/1366875\) | \(-37382514873046875\) | \([]\) | \(129024\) | \(1.8758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11025t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11025t do not have complex multiplication.Modular form 11025.2.a.t
sage: E.q_eigenform(10)