Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 19600.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19600.v1 | 19600dz1 | \([0, 1, 0, -1458, -22037]\) | \(-160000\) | \(-2143750000\) | \([]\) | \(11520\) | \(0.62856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19600.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19600.v do not have complex multiplication.Modular form 19600.2.a.v
sage: E.q_eigenform(10)