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Properties

Label 238055563.a
Number of curves $1$
Conductor $238055563$
CM no
Rank $5$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("a1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 238055563.a1 has rank \(5\).

Complex multiplication

The elliptic curves in class 238055563.a do not have complex multiplication.

Modular form 238055563.2.a.a

Copy content sage:E.q_eigenform(10)
 
\(q - 2 q^{2} - 2 q^{3} + 2 q^{4} - 2 q^{5} + 4 q^{6} - 4 q^{7} + q^{9} + 4 q^{10} - 4 q^{11} - 4 q^{12} - 6 q^{13} + 8 q^{14} + 4 q^{15} - 4 q^{16} - 6 q^{17} - 2 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 238055563.a

Copy content sage:E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
238055563.a1 \([0, 1, 1, -214, 1346]\) \(-1088912207872/238055563\) \(-238055563\) \([]\) \(\) \(0.32810\)