Properties

Label 20800.d
Number of curves $1$
Conductor $20800$
CM no
Rank $0$

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

Elliptic curves in class 20800.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20800.d1 20800ct1 \([0, 0, 0, -400, -2720]\) \(17280000/2197\) \(899891200\) \([]\) \(13824\) \(0.44724\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20800.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 20800.d do not have complex multiplication.

Modular form 20800.2.a.d

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 2 q^{7} + 6 q^{9} - 2 q^{11} - q^{13} - 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display