Properties

Label 46800d
Number of curves $1$
Conductor $46800$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 46800d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46800.u1 46800d1 \([0, 0, 0, 41700, -85094500]\) \(74251994112/29007265625\) \(-3132784687500000000\) \([]\) \(645120\) \(2.2281\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46800d1 has rank \(1\).

Complex multiplication

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

Modular form 46800.2.a.d

sage: E.q_eigenform(10)
 
\(q - 3q^{7} - 3q^{11} - q^{13} + 3q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display