Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 445280.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.v1 445280v1 \([0, 0, 0, -9317, -351384]\) \(-6519744/115\) \(-1577681364160\) \([]\) \(557568\) \(1.1378\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 445280.v1 has rank \(1\).

Complex multiplication

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

Modular form 445280.2.a.v

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