Properties

Label 85800.j
Number of curves $1$
Conductor $85800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 85800.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85800.j1 85800ch1 \([0, -1, 0, -93808, -11027588]\) \(-142648759159300/5577\) \(-3569280000\) \([]\) \(220416\) \(1.3228\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85800.j1 has rank \(0\).

Complex multiplication

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

Modular form 85800.2.a.j

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