Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 100510o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100510.g1 | 100510o1 | \([1, -1, 1, -25227, -1640421]\) | \(-11993263569/972800\) | \(-144009312819200\) | \([]\) | \(1020272\) | \(1.4630\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100510o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100510o do not have complex multiplication.Modular form 100510.2.a.o
sage: E.q_eigenform(10)