Properties

Label 259920i
Number of curves $1$
Conductor $259920$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 259920i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259920.i1 259920i1 \([0, 0, 0, 31407, -4843537]\) \(2253933824/7971615\) \(-12117366131272560\) \([]\) \(1347840\) \(1.7691\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259920i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 259920i do not have complex multiplication.

Modular form 259920.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{7} + 2 q^{11} - 2 q^{13} - q^{17} + O(q^{20})\) Copy content Toggle raw display