Properties

Label 2600.e
Number of curves $1$
Conductor $2600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 2600.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2600.e1 2600c1 \([0, -1, 0, -408, -3188]\) \(-235298/13\) \(-416000000\) \([]\) \(1120\) \(0.41169\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2600.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2600.e do not have complex multiplication.

Modular form 2600.2.a.e

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