Properties

Label 254320.a
Number of curves $1$
Conductor $254320$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 254320.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254320.a1 254320a1 \([0, 0, 0, -400843, -873364358]\) \(-72043225281/3291200000\) \(-325392658812108800000\) \([]\) \(19906560\) \(2.6160\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254320.a1 has rank \(1\).

Complex multiplication

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

Modular form 254320.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{5} - 4 q^{7} + 6 q^{9} + q^{11} - q^{13} + 3 q^{15} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display