Properties

Label 443760.y
Number of curves $1$
Conductor $443760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 443760.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
443760.y1 443760y1 \([0, -1, 0, 738767355855, 198510976976316525]\) \(27554726454844416496885738496/26465717996184551883676875\) \(-42828649422421849411097176033482720000\) \([]\) \(11656888320\) \(5.9080\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 443760.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 443760.y do not have complex multiplication.

Modular form 443760.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{7} + q^{9} - 5 q^{11} - 5 q^{13} - q^{15} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display