Properties

Label 46800ex
Number of curves $1$
Conductor $46800$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("ex1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 46800ex

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46800.x1 46800ex1 \([0, 0, 0, -163875, -26558750]\) \(-417267265/19773\) \(-23063227200000000\) \([]\) \(368640\) \(1.9025\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46800ex1 has rank \(0\).

Complex multiplication

The elliptic curves in class 46800ex do not have complex multiplication.

Modular form 46800.2.a.ex

sage: E.q_eigenform(10)
 
\(q - 3q^{7} - q^{11} - q^{13} - 5q^{17} + 8q^{19} + O(q^{20})\)  Toggle raw display