Properties

Label 11774h
Number of curves $1$
Conductor $11774$
CM no
Rank $1$

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

Elliptic curves in class 11774h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11774.l1 11774h1 \([1, 0, 0, -32, 128]\) \(-4317433/6272\) \(-5274752\) \([]\) \(1680\) \(-0.018144\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11774h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11774h do not have complex multiplication.

Modular form 11774.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + 2 q^{5} + q^{6} + q^{7} + q^{8} - 2 q^{9} + 2 q^{10} - q^{11} + q^{12} - 2 q^{13} + q^{14} + 2 q^{15} + q^{16} - 2 q^{17} - 2 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display