Properties

Label 96192d
Number of curves $1$
Conductor $96192$
CM no
Rank $2$

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

Elliptic curves in class 96192d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96192.g1 96192d1 \([0, 0, 0, -10668, 424496]\) \(-1405190738/1503\) \(-143613886464\) \([]\) \(73728\) \(1.0572\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96192d1 has rank \(2\).

Complex multiplication

The elliptic curves in class 96192d do not have complex multiplication.

Modular form 96192.2.a.d

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