Properties

Label 46800.w
Number of curves $1$
Conductor $46800$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 46800.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46800.w1 46800bg1 \([0, 0, 0, -23700, 2153500]\) \(-504871936/394875\) \(-1151455500000000\) \([]\) \(184320\) \(1.5886\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46800.w1 has rank \(1\).

Complex multiplication

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

Modular form 46800.2.a.w

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