Properties

Label 159936.i
Number of curves $1$
Conductor $159936$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 159936.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.i1 159936ia1 \([0, -1, 0, 424863, 40802721]\) \(6414120712/4259571\) \(-5632460525489258496\) \([]\) \(3082240\) \(2.2867\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 159936.i do not have complex multiplication.

Modular form 159936.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} - 3 q^{11} + 5 q^{13} + 3 q^{15} + q^{17} + O(q^{20})\) Copy content Toggle raw display