Show commands:
SageMath
E = EllipticCurve("jc1")
E.isogeny_class()
Elliptic curves in class 206400jc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.z1 | 206400jc1 | \([0, -1, 0, -833, 309537]\) | \(-200/129\) | \(-41280000000000\) | \([]\) | \(483840\) | \(1.2917\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400jc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206400jc do not have complex multiplication.Modular form 206400.2.a.jc
sage: E.q_eigenform(10)