Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 16560.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16560.b1 | 16560bl1 | \([0, 0, 0, 4272, -150032]\) | \(2887553024/4927635\) | \(-14713839267840\) | \([]\) | \(30720\) | \(1.2116\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16560.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16560.b do not have complex multiplication.Modular form 16560.2.a.b
sage: E.q_eigenform(10)