Properties

Label 242760n
Number of curves $1$
Conductor $242760$
CM no
Rank $1$

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

Elliptic curves in class 242760n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
242760.n1 242760n1 \([0, -1, 0, -96, -420]\) \(-334084/105\) \(-31073280\) \([]\) \(69120\) \(0.15088\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 242760n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 242760n do not have complex multiplication.

Modular form 242760.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} - 5 q^{11} - 5 q^{13} + q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display