Properties

Label 2601.d
Number of curves $1$
Conductor $2601$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 2601.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2601.d1 2601f1 \([1, -1, 1, -8291, 636310]\) \(-459\) \(-137303833711203\) \([]\) \(7344\) \(1.4016\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2601.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2601.d do not have complex multiplication.

Modular form 2601.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - 2 q^{5} + q^{7} + 3 q^{8} + 2 q^{10} + 6 q^{11} + q^{13} - q^{14} - q^{16} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display