Properties

Label 405600.d
Number of curves $1$
Conductor $405600$
CM no
Rank $1$

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

Elliptic curves in class 405600.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.d1 405600d1 \([0, -1, 0, -1830833, -909110463]\) \(520000/27\) \(35239567147200000000\) \([]\) \(10782720\) \(2.5082\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 405600.d do not have complex multiplication.

Modular form 405600.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4q^{7} + q^{9} - q^{11} - 2q^{17} + 2q^{19} + O(q^{20})\)  Toggle raw display