Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 32192x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32192.bc1 | 32192x1 | \([0, 0, 0, 116, 272]\) | \(658503/503\) | \(-131858432\) | \([]\) | \(19456\) | \(0.24621\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32192x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32192x do not have complex multiplication.Modular form 32192.2.a.x
sage: E.q_eigenform(10)