Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 46800.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.c1 | 46800bn1 | \([0, 0, 0, 10500, -7062500]\) | \(351232/59319\) | \(-21621775500000000\) | \([]\) | \(460800\) | \(1.8136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46800.c do not have complex multiplication.Modular form 46800.2.a.c
sage: E.q_eigenform(10)