Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 9792.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9792.d1 9792ba1 \([0, 0, 0, 6, 74]\) \(512/51\) \(-2379456\) \([]\) \(1536\) \(-0.097039\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9792.d1 has rank \(1\).

Complex multiplication

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

Modular form 9792.2.a.d

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