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Properties

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

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Show commands: SageMath
Copy content sage:E = EllipticCurve("cao1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 705600.cao1 has rank \(1\).

Complex multiplication

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

Modular form 705600.2.a.cao

Copy content sage:E.q_eigenform(10)
 
\(q + 6 q^{11} - 7 q^{13} - 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 705600.cao

Copy content sage:E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.cao1 \([0, 0, 0, -4777500, 4191950000]\) \(-43061200/2187\) \(-612475123680000000000\) \([]\) \(41287680\) \(2.7492\)