Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 34914c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 34914.d1 | 34914c1 | \([1, 1, 0, -1620838818, -16647420522636]\) | \(261452426010489828863/84838659222822912\) | \(152807376854139979100735840256\) | \([]\) | \(38578176\) | \(4.3032\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 34914c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 34914c do not have complex multiplication.Modular form 34914.2.a.c
sage: E.q_eigenform(10)