Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 108900.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
108900.o1 | 108900cp1 | \([0, 0, 0, -19965000, -56184837500]\) | \(-2252800/2187\) | \(-854393235581407500000000\) | \([]\) | \(14636160\) | \(3.2881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 108900.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 108900.o do not have complex multiplication.Modular form 108900.2.a.o
sage: E.q_eigenform(10)