Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 2601.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2601.h1 2601a1 \([1, -1, 0, -3, -4]\) \(-459\) \(-7803\) \([]\) \(144\) \(-0.56435\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2601.h1 has rank \(1\).

Complex multiplication

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

Modular form 2601.2.a.h

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