Properties

Label 436800.k
Number of curves $1$
Conductor $436800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 436800.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
436800.k1 436800k1 \([0, -1, 0, -7833, -327663]\) \(-83058400000/25563447\) \(-16360606080000\) \([]\) \(1013760\) \(1.2491\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 436800.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 436800.k do not have complex multiplication.

Modular form 436800.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - 5 q^{11} + q^{13} - 4 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display