Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 101080o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101080.p1 | 101080o1 | \([0, 1, 0, -481, -31661]\) | \(-1024/35\) | \(-421531093760\) | \([]\) | \(104832\) | \(0.91089\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101080o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101080o do not have complex multiplication.Modular form 101080.2.a.o
sage: E.q_eigenform(10)