Show commands:
SageMath
E = EllipticCurve("fc1")
E.isogeny_class()
Elliptic curves in class 158400.fc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
158400.fc1 | 158400v1 | \([0, 0, 0, -79500, -8710000]\) | \(-2977540/33\) | \(-615859200000000\) | \([]\) | \(614400\) | \(1.6528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 158400.fc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 158400.fc do not have complex multiplication.Modular form 158400.2.a.fc
sage: E.q_eigenform(10)