Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 216384.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216384.o1 | 216384cp1 | \([0, -1, 0, -5217, 170241]\) | \(-174676879/35328\) | \(-3176530968576\) | \([]\) | \(552960\) | \(1.1214\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 216384.o do not have complex multiplication.Modular form 216384.2.a.o
sage: E.q_eigenform(10)