Show commands:
SageMath
E = EllipticCurve("ep1")
E.isogeny_class()
Elliptic curves in class 39600.ep
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 39600.ep1 | 39600ct1 | \([0, 0, 0, -675, 36450]\) | \(-675/11\) | \(-554273280000\) | \([]\) | \(36864\) | \(0.93467\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39600.ep1 has rank \(0\).
Complex multiplication
The elliptic curves in class 39600.ep do not have complex multiplication.Modular form 39600.2.a.ep
sage: E.q_eigenform(10)