Properties

Label 254320i
Number of curves $1$
Conductor $254320$
CM no
Rank $0$

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

Elliptic curves in class 254320i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254320.i1 254320i1 \([0, 1, 0, -6165, 1048963]\) \(-262144/4675\) \(-462205481267200\) \([]\) \(829440\) \(1.4950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254320i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 254320i do not have complex multiplication.

Modular form 254320.2.a.i

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