Properties

Label 96330.z
Number of curves $1$
Conductor $96330$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 96330.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96330.z1 96330be1 \([1, 0, 1, -2908299, -1909551434]\) \(-16097333982386425236481/2988441600000000\) \(-505046630400000000\) \([]\) \(3649536\) \(2.3992\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96330.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 96330.z do not have complex multiplication.

Modular form 96330.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - 4 q^{7} - q^{8} + q^{9} + q^{10} - 2 q^{11} + q^{12} + 4 q^{14} - q^{15} + q^{16} + 6 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display