Properties

Label 187425cx
Number of curves $1$
Conductor $187425$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cx1")
 
E.isogeny_class()
 

Elliptic curves in class 187425cx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187425.cv1 187425cx1 \([0, 0, 1, -389550, 138346906]\) \(-4878401536/3346875\) \(-4485132597216796875\) \([]\) \(2211840\) \(2.2793\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187425cx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 187425cx do not have complex multiplication.

Modular form 187425.2.a.cx

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + 2 q^{11} + 3 q^{13} + 4 q^{16} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display