Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 608c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 608.f1 | 608c1 | \([0, 0, 0, 5, 2]\) | \(27000/19\) | \(-9728\) | \([]\) | \(48\) | \(-0.54628\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 608c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 608c do not have complex multiplication.Modular form 608.2.a.c
sage: E.q_eigenform(10)