Properties

Label 291050.h
Number of curves $1$
Conductor $291050$
CM no
Rank $0$

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

Elliptic curves in class 291050.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
291050.h1 291050h1 \([1, -1, 1, -405, 3097]\) \(469097433/23284\) \(363812500\) \([]\) \(499392\) \(0.40168\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 291050.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 291050.h do not have complex multiplication.

Modular form 291050.2.a.h

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