Properties

Label 438615bn
Number of curves $1$
Conductor $438615$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 438615bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
438615.bn1 438615bn1 \([0, 0, 1, 9747, 108029]\) \(995328/625\) \(-64305838591875\) \([]\) \(1364688\) \(1.3386\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 438615bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 438615bn do not have complex multiplication.

Modular form 438615.2.a.bn

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