Properties

Label 88200cl
Number of curves $1$
Conductor $88200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 88200cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88200.gw1 88200cl1 \([0, 0, 0, 5145, 84035]\) \(1280\) \(-11767111801200\) \([]\) \(129024\) \(1.1960\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88200cl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88200cl do not have complex multiplication.

Modular form 88200.2.a.cl

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