Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 238260b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
238260.b1 238260b1 \([0, -1, 0, -1682741, -1500138495]\) \(-6379012096/8085825\) \(-667954240996833964800\) \([]\) \(9302400\) \(2.6891\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 238260b1 has rank \(1\).

Complex multiplication

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

Modular form 238260.2.a.b

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