Properties

Label 147136cn
Number of curves $1$
Conductor $147136$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 147136cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
147136.w1 147136cn1 \([0, -1, 0, -4033, 142529]\) \(-31250/19\) \(-4411838824448\) \([]\) \(179200\) \(1.1283\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 147136cn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 147136cn do not have complex multiplication.

Modular form 147136.2.a.cn

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