Properties

Label 9464b
Number of curves $1$
Conductor $9464$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 9464b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9464.a1 9464b1 \([0, 1, 0, -225, 112867]\) \(-1024/4459\) \(-5509821780736\) \([]\) \(16128\) \(1.1237\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9464b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9464b do not have complex multiplication.

Modular form 9464.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} - q^{7} + q^{9} - 4 q^{11} - 2 q^{15} - 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display