Properties

Label 317322bh
Number of curves 11
Conductor 317322317322
CM no
Rank 11

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 317322bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
317322.bh1 317322bh1 [1,1,1,2222,41973][1, -1, 1, -2222, -41973] 1860867/122-1860867/122 79509152286-79509152286 [][] 564480564480 0.844150.84415 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 317322bh1 has rank 11.

Complex multiplication

The elliptic curves in class 317322bh do not have complex multiplication.

Modular form 317322.2.a.bh

sage: E.q_eigenform(10)
 
q+q2+q4+q54q7+q8+q106q116q134q14+q166q19+O(q20)q + q^{2} + q^{4} + q^{5} - 4 q^{7} + q^{8} + q^{10} - 6 q^{11} - 6 q^{13} - 4 q^{14} + q^{16} - 6 q^{19} + O(q^{20}) Copy content Toggle raw display