Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 200016c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 200016.b1 | 200016c1 | \([0, 0, 0, -459, 5994]\) | \(-530604/463\) | \(-9331946496\) | \([]\) | \(130176\) | \(0.61035\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200016c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200016c do not have complex multiplication.Modular form 200016.2.a.c
sage: E.q_eigenform(10)