Properties

Label 26010e
Number of curves $1$
Conductor $26010$
CM no
Rank $1$

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

Elliptic curves in class 26010e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26010.w1 26010e1 \([1, -1, 0, -472569, -257734675]\) \(-85003587/160000\) \(-21968613393792480000\) \([]\) \(470016\) \(2.4012\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26010e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 26010e do not have complex multiplication.

Modular form 26010.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + q^{7} - q^{8} - q^{10} - 2 q^{11} - 3 q^{13} - q^{14} + q^{16} + q^{19} + O(q^{20})\) Copy content Toggle raw display