Properties

Label 95817j
Number of curves $1$
Conductor $95817$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 95817j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
95817.b1 95817j1 \([0, 1, 1, -3922, 102712]\) \(-1404928/171\) \(-812267825211\) \([]\) \(282240\) \(1.0202\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 95817j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 95817j do not have complex multiplication.

Modular form 95817.2.a.j

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} - 3 q^{5} - 2 q^{6} + 5 q^{7} + q^{9} + 6 q^{10} - q^{11} + 2 q^{12} - 2 q^{13} - 10 q^{14} - 3 q^{15} - 4 q^{16} + q^{17} - 2 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display