Properties

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

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Show commands: SageMath
E = EllipticCurve("dd1")
 
E.isogeny_class()
 

Elliptic curves in class 405600.dd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.dd1 405600dd1 \([0, -1, 0, 867, -24363]\) \(6656/27\) \(-292032000000\) \([]\) \(460800\) \(0.88267\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 405600.dd1 has rank \(1\).

Complex multiplication

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

Modular form 405600.2.a.dd

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{7} + q^{9} - 2 q^{11} - 6 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display