Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 40560u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40560.bh1 | 40560u1 | \([0, 1, 0, -58361, 5407299]\) | \(-17790954496/195\) | \(-240954305280\) | \([]\) | \(161280\) | \(1.3382\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40560u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40560u do not have complex multiplication.Modular form 40560.2.a.u
sage: E.q_eigenform(10)