Properties

Label 19600bn
Number of curves $1$
Conductor $19600$
CM no
Rank $1$

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

Elliptic curves in class 19600bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19600.y1 19600bn1 \([0, 1, 0, 292, -1037]\) \(1280\) \(-2143750000\) \([]\) \(7680\) \(0.47849\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 19600bn do not have complex multiplication.

Modular form 19600.2.a.bn

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} + 3 q^{11} - 2 q^{13} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display