Properties

Label 260100.a
Number of curves $1$
Conductor $260100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 260100.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
260100.a1 260100a1 \([0, 0, 0, -11075925, -104159898875]\) \(-34158804736/1045659375\) \(-4599930826078446093750000\) \([]\) \(59719680\) \(3.4127\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 260100.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 260100.a do not have complex multiplication.

Modular form 260100.2.a.a

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