Properties

Label 445280.e
Number of curves $1$
Conductor $445280$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 445280.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.e1 445280e1 \([0, 0, 0, -1126972, -460487456]\) \(-319387394710714176/1399205\) \(-693468385280\) \([]\) \(5271552\) \(1.9006\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 445280.e1 has rank \(0\).

Complex multiplication

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

Modular form 445280.2.a.e

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + q^{7} + 6 q^{9} - 4 q^{13} - 3 q^{15} + O(q^{20})\) Copy content Toggle raw display