Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 46800z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46800.b1 46800z1 \([0, 0, 0, -77700, -8336500]\) \(-17790954496/195\) \(-568620000000\) \([]\) \(184320\) \(1.4098\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46800z1 has rank \(0\).

Complex multiplication

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

Modular form 46800.2.a.z

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