Properties

Label 25992bb
Number of curves 11
Conductor 2599225992
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 25992bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25992.l1 25992bb1 [0,0,0,177612,20604436][0, 0, 0, 177612, 20604436] 70575104/6173170575104/61731 541991420192772864-541991420192772864 [][] 276480276480 2.09032.0903 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25992bb1 has rank 00.

Complex multiplication

The elliptic curves in class 25992bb do not have complex multiplication.

Modular form 25992.2.a.bb

sage: E.q_eigenform(10)
 
qq53q7+5q11+2q13+q17+O(q20)q - q^{5} - 3 q^{7} + 5 q^{11} + 2 q^{13} + q^{17} + O(q^{20}) Copy content Toggle raw display