Properties

Label 238260r
Number of curves $1$
Conductor $238260$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 238260r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
238260.r1 238260r1 \([0, 1, 0, -893956, -436081756]\) \(-18172047184/8353125\) \(-36317651206874400000\) \([]\) \(4924800\) \(2.4596\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 238260r1 has rank \(0\).

Complex multiplication

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

Modular form 238260.2.a.r

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