Properties

Label 96192.r
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 96192.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
96192.r1 96192j1 \([0, 0, 0, 5748, 462832]\) \(219804478/1095687\) \(-104694523232256\) \([]\) \(229376\) \(1.3724\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 96192.2.a.r

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