Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 61347o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 61347.bb1 | 61347o1 | \([0, -1, 1, -3098, 67979]\) | \(-160855552000/1594323\) | \(-32602311027\) | \([]\) | \(69264\) | \(0.83667\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61347o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61347o do not have complex multiplication.Modular form 61347.2.a.o
sage: E.q_eigenform(10)