Properties

Label 450840e
Number of curves $1$
Conductor $450840$
CM no
Rank $0$

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

Elliptic curves in class 450840e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450840.e1 450840e1 \([0, -1, 0, -3856801, -26984195195]\) \(-1026767289066496/50316682419315\) \(-310917732799309502780160\) \([]\) \(61102080\) \(3.1878\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450840e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 450840e do not have complex multiplication.

Modular form 450840.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2q^{7} + q^{9} + 6q^{11} + q^{13} + q^{15} + 6q^{19} + O(q^{20})\)  Toggle raw display