Properties

Label 9792bt
Number of curves $1$
Conductor $9792$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 9792bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9792.h1 9792bt1 \([0, 0, 0, -624, 12256]\) \(-2249728/4131\) \(-49340399616\) \([]\) \(10240\) \(0.74188\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9792bt1 has rank \(1\).

Complex multiplication

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

Modular form 9792.2.a.bt

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