Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 466578o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.o1 | 466578o1 | \([1, -1, 0, -430866, 343231636]\) | \(-194975262337/1008189504\) | \(-45741838082235817536\) | \([]\) | \(14155776\) | \(2.4567\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578o do not have complex multiplication.Modular form 466578.2.a.o
sage: E.q_eigenform(10)