Properties

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

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Show commands: SageMath
E = EllipticCurve("ip1")
 
E.isogeny_class()
 

Elliptic curves in class 159936.ip

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159936.ip1 159936bi1 \([0, 1, 0, -1309345, 578551007]\) \(-3352478521/15606\) \(-1155611685262196736\) \([]\) \(2515968\) \(2.3164\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159936.ip1 has rank \(1\).

Complex multiplication

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

Modular form 159936.2.a.ip

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