Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 185020o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 185020.p1 | 185020o1 | \([0, -1, 0, 10, -43]\) | \(7424/55\) | \(-740080\) | \([]\) | \(20160\) | \(-0.19224\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185020o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185020o do not have complex multiplication.Modular form 185020.2.a.o
sage: E.q_eigenform(10)