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Properties

Label 705600.bmq
Number of curves $1$
Conductor $705600$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("bmq1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 705600.bmq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 705600.bmq do not have complex multiplication.

Modular form 705600.2.a.bmq

Copy content sage:E.q_eigenform(10)
 
\(q + 2 q^{11} - q^{13} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 705600.bmq

Copy content sage:E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.bmq1 \([0, 0, 0, -861420, -366790480]\) \(-125768785/30618\) \(-17209669011229900800\) \([]\) \(12386304\) \(2.4094\)