Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 38962o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38962.j1 | 38962o1 | \([1, -1, 0, 280, -588]\) | \(165483351/103684\) | \(-1518037444\) | \([]\) | \(18048\) | \(0.45079\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38962o1 has rank \(2\).
Complex multiplication
The elliptic curves in class 38962o do not have complex multiplication.Modular form 38962.2.a.o
sage: E.q_eigenform(10)