Properties

Label 85800cd
Number of curves $1$
Conductor $85800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 85800cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85800.i1 85800cd1 \([0, -1, 0, -824208, 308324412]\) \(-154801343130820/12902060457\) \(-5160824182800000000\) \([]\) \(1900800\) \(2.3361\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85800cd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 85800cd do not have complex multiplication.

Modular form 85800.2.a.cd

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