Properties

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

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 85800ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85800.m1 85800ci1 \([0, -1, 0, 101859792, -123502865463]\) \(18700449490920637280000/11875724217287331687\) \(-74223276358045823043750000\) \([]\) \(21772800\) \(3.6531\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85800ci1 has rank \(0\).

Complex multiplication

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

Modular form 85800.2.a.ci

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