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Properties

Label 411840cq
Number of curves $1$
Conductor $411840$
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 411840cq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 411840cq do not have complex multiplication.

Modular form 411840.2.a.cq

Copy content sage:E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - q^{11} + q^{13} - 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 411840cq

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
411840.cq1 411840cq1 \([0, 0, 0, 99252, -18519408]\) \(20956092093/40842230\) \(-210736935885864960\) \([]\) \(3870720\) \(2.0087\) \(\Gamma_0(N)\)-optimal