Properties

Label 46800fa
Number of curves $1$
Conductor $46800$
CM no
Rank $2$

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Show commands: SageMath
sage: E = EllipticCurve("fa1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 46800fa

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46800.r1 46800fa1 \([0, 0, 0, 7125, 396250]\) \(34295/78\) \(-90979200000000\) \([]\) \(161280\) \(1.3626\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46800fa1 has rank \(2\).

Complex multiplication

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

Modular form 46800.2.a.fa

sage: E.q_eigenform(10)
 
\(q - 4q^{7} + 4q^{11} - q^{13} - 4q^{17} - 7q^{19} + O(q^{20})\)  Toggle raw display