Properties

Label 9792n
Number of curves $1$
Conductor $9792$
CM no
Rank $0$

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

Elliptic curves in class 9792n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9792.c1 9792n1 \([0, 0, 0, -624, -12256]\) \(-2249728/4131\) \(-49340399616\) \([]\) \(10240\) \(0.74188\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9792n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9792n do not have complex multiplication.

Modular form 9792.2.a.n

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