Properties

Label 317322bh
Number of curves $1$
Conductor $317322$
CM no
Rank $1$

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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 \([1, -1, 1, -2222, -41973]\) \(-1860867/122\) \(-79509152286\) \([]\) \(564480\) \(0.84415\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 317322bh1 has rank \(1\).

Complex multiplication

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

Modular form 317322.2.a.bh

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