Properties

Label 215600.cp
Number of curves $1$
Conductor $215600$
CM no
Rank $1$

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

Elliptic curves in class 215600.cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215600.cp1 215600ca1 \([0, -1, 0, -4920008, -3808041488]\) \(85713473128801/8800000000\) \(1352243200000000000000\) \([]\) \(7299072\) \(2.7902\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215600.cp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 215600.cp do not have complex multiplication.

Modular form 215600.2.a.cp

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} + q^{11} - q^{13} - 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display