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Properties

Label 445280.a
Number of curves $1$
Conductor $445280$
CM no
Rank $2$

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Show commands: SageMath
Copy content sage:E = EllipticCurve([0, 0, 0, -748, -40832]) E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 445280.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 445280.a do not have complex multiplication.

Modular form 445280.2.a.a

Copy content sage:E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{5} - 3 q^{7} + 6 q^{9} + 6 q^{13} + 3 q^{15} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 445280.a

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.a1 445280a1 \([0, 0, 0, -748, -40832]\) \(-93386304/1399205\) \(-693468385280\) \([]\) \(1277952\) \(0.95349\) \(\Gamma_0(N)\)-optimal