Show commands:
SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 19600bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19600.h1 | 19600bz1 | \([0, 0, 0, -8575, 600250]\) | \(-3024/5\) | \(-115296020000000\) | \([]\) | \(96768\) | \(1.3891\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19600bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19600bz do not have complex multiplication.Modular form 19600.2.a.bz
sage: E.q_eigenform(10)