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Properties

Label 424536cq
Number of curves $1$
Conductor $424536$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("cq1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 424536cq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 424536cq do not have complex multiplication.

Modular form 424536.2.a.cq

Copy content sage:E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} + q^{9} + 3 q^{11} + 4 q^{13} - 3 q^{15} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 424536cq

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
424536.cq1 424536cq1 \([0, 1, 0, -548081872, 4941051560864]\) \(-669003004754/390963\) \(-10640636730211342340806656\) \([]\) \(135475200\) \(3.7474\) \(\Gamma_0(N)\)-optimal