Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 9792.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9792.r1 9792d1 \([0, 0, 0, 432, -864]\) \(27648/17\) \(-5482266624\) \([]\) \(3072\) \(0.55789\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9792.r1 has rank \(0\).

Complex multiplication

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

Modular form 9792.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{7} + 3 q^{11} + q^{13} + q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display