Properties

Label 238260.c
Number of curves $1$
Conductor $238260$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 238260.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
238260.c1 238260c1 \([0, -1, 0, 39861139, 105356257161]\) \(581582383072403456/734810755974075\) \(-8849873762067551112979200\) \([]\) \(57127680\) \(3.4729\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 238260.c1 has rank \(1\).

Complex multiplication

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

Modular form 238260.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} - q^{11} - 5 q^{13} + q^{15} + 7 q^{17} + O(q^{20})\) Copy content Toggle raw display