Properties

Label 11760.n
Number of curves $1$
Conductor $11760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 11760.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11760.n1 11760bm1 \([0, -1, 0, 19, 225]\) \(57344/1875\) \(-23520000\) \([]\) \(2304\) \(0.094425\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11760.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11760.n do not have complex multiplication.

Modular form 11760.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + 2 q^{11} - q^{13} + q^{15} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display