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Properties

Label 846720.z
Number of curves $1$
Conductor $846720$
CM no
Rank $2$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("z1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 846720.z1 has rank \(2\).

Complex multiplication

The elliptic curves in class 846720.z do not have complex multiplication.

Modular form 846720.2.a.z

Copy content sage:E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{11} - 3 q^{13} + 8 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 846720.z

Copy content sage:E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
846720.z1 \([0, 0, 0, -50568, 5411168]\) \(-274776192/84035\) \(-4373530383237120\) \([]\) \(4423680\) \(1.7150\)