Show commands:
SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 19600bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19600.ds1 | 19600bk1 | \([0, -1, 0, 14292, 384287]\) | \(1280\) | \(-252210043750000\) | \([]\) | \(53760\) | \(1.4514\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19600bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19600bk do not have complex multiplication.Modular form 19600.2.a.bk
sage: E.q_eigenform(10)