Properties

Label 46200.r
Number of curves $1$
Conductor $46200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 46200.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46200.r1 46200cb1 \([0, -1, 0, -11033, -508563]\) \(-37135043584/6847995\) \(-27391980000000\) \([]\) \(138240\) \(1.3031\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46200.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 46200.r do not have complex multiplication.

Modular form 46200.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} - q^{11} - 6 q^{13} + 5 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display