Properties

Label 58800.cp
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cp1")
 
E.isogeny_class()
 

Elliptic curves in class 58800.cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.cp1 58800a1 \([0, -1, 0, 880367, 367548637]\) \(3272428544/4428675\) \(-102121720274700000000\) \([]\) \(1419264\) \(2.5251\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.cp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58800.cp do not have complex multiplication.

Modular form 58800.2.a.cp

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