Properties

Label 159936ik
Number of curves $1$
Conductor $159936$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ik1")
 
E.isogeny_class()
 

Elliptic curves in class 159936ik

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.l1 159936ik1 \([0, -1, 0, -212, 1254]\) \(6889792/51\) \(7836864\) \([]\) \(56832\) \(0.15356\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936ik1 has rank \(1\).

Complex multiplication

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

Modular form 159936.2.a.ik

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