Properties

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

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 445280.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.x1 445280x1 \([0, 0, 0, -77, 264]\) \(-6519744/115\) \(-890560\) \([]\) \(50688\) \(-0.061193\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 445280.x1 has rank \(2\).

Complex multiplication

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

Modular form 445280.2.a.x

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{7} - 3 q^{9} - 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display