Properties

Label 46800bn
Number of curves $1$
Conductor $46800$
CM no
Rank $1$

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

Elliptic curves in class 46800bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46800.c1 46800bn1 \([0, 0, 0, 10500, -7062500]\) \(351232/59319\) \(-21621775500000000\) \([]\) \(460800\) \(1.8136\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46800bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 46800bn do not have complex multiplication.

Modular form 46800.2.a.bn

sage: E.q_eigenform(10)
 
\(q - 5q^{7} + 5q^{11} - q^{13} - 3q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display