Properties

Label 208088.c
Number of curves $1$
Conductor $208088$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 208088.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
208088.c1 208088c1 \([0, 1, 0, -11408, -675424]\) \(-31250/19\) \(-99837546027008\) \([]\) \(414720\) \(1.3883\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 208088.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 208088.c do not have complex multiplication.

Modular form 208088.2.a.c

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{7} - 2 q^{9} + 2 q^{11} - q^{13} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display