Properties

Label 433251bx
Number of curves $1$
Conductor $433251$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bx1")
 
E.isogeny_class()
 

Elliptic curves in class 433251bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
433251.bx1 433251bx1 \([0, 0, 1, -7289091, -10614700681]\) \(-396870925750272/221358574619\) \(-23888610755110949441139\) \([]\) \(54996480\) \(2.9973\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 433251bx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 433251bx do not have complex multiplication.

Modular form 433251.2.a.bx

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + 3 q^{5} + q^{7} + 6 q^{10} + 3 q^{11} - q^{13} + 2 q^{14} - 4 q^{16} + 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display