Properties

Label 238260k
Number of curves $1$
Conductor $238260$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 238260k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
238260.k1 238260k1 \([0, -1, 0, 916820, 85696600]\) \(19602285104/12078825\) \(-52516220377268947200\) \([]\) \(4924800\) \(2.4731\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 238260k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 238260k do not have complex multiplication.

Modular form 238260.2.a.k

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