Properties

Label 376712bn
Number of curves $1$
Conductor $376712$
CM no
Rank $0$

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

Elliptic curves in class 376712bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
376712.bn1 376712bn1 \([0, 0, 0, -6727, -208537]\) \(48384\) \(695802885904\) \([]\) \(736560\) \(1.0626\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 376712bn1 has rank \(0\).

Complex multiplication

The elliptic curves in class 376712bn do not have complex multiplication.

Modular form 376712.2.a.bn

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} + 6 q^{9} + q^{11} + 2 q^{13} + 3 q^{15} + 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display