Properties

Label 277725bx
Number of curves $1$
Conductor $277725$
CM no
Rank $2$

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

Elliptic curves in class 277725bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277725.bx1 277725bx1 \([1, 1, 0, 23875, 11081250]\) \(182074754111/6511640625\) \(-53822779541015625\) \([]\) \(2419200\) \(1.8903\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277725bx1 has rank \(2\).

Complex multiplication

The elliptic curves in class 277725bx do not have complex multiplication.

Modular form 277725.2.a.bx

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} - q^{6} - q^{7} - 3 q^{8} + q^{9} - 5 q^{11} + q^{12} - q^{13} - q^{14} - q^{16} + q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display