Show commands:
SageMath
E = EllipticCurve("fu1")
E.isogeny_class()
Elliptic curves in class 152880.fu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152880.fu1 | 152880gs1 | \([0, 1, 0, -5161, 217139]\) | \(-504871936/394875\) | \(-11892902112000\) | \([]\) | \(316800\) | \(1.2076\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152880.fu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 152880.fu do not have complex multiplication.Modular form 152880.2.a.fu
sage: E.q_eigenform(10)