Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 26010p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26010.m1 26010p1 \([1, -1, 0, 5953635, -28687300475]\) \(4589352212399/72559411200\) \(-368988345540281500876800\) \([]\) \(3015936\) \(3.2027\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26010p1 has rank \(1\).

Complex multiplication

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

Modular form 26010.2.a.p

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