Properties

Label 443760p
Number of curves $1$
Conductor $443760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 443760p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
443760.p1 443760p1 \([0, -1, 0, -1261, 17665]\) \(-468852736/75\) \(-35500800\) \([]\) \(169344\) \(0.45867\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 443760p1 has rank \(1\).

Complex multiplication

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

Modular form 443760.2.a.p

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