Properties

Label 96192r
Number of curves $1$
Conductor $96192$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 96192r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96192.d1 96192r1 \([0, 0, 0, 276, -8944]\) \(97336/1503\) \(-35903471616\) \([]\) \(61440\) \(0.70595\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 96192r1 has rank \(1\).

Complex multiplication

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

Modular form 96192.2.a.r

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{7} + 2 q^{11} - 6 q^{13} + 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display