Show commands:
SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 92736bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92736.dw1 | 92736bx1 | \([0, 0, 0, -354252, 81431152]\) | \(-25727239787761/101406816\) | \(-19379144324284416\) | \([]\) | \(552960\) | \(1.9828\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92736bx do not have complex multiplication.Modular form 92736.2.a.bx
sage: E.q_eigenform(10)