Properties

Label 201810.h
Number of curves $1$
Conductor $201810$
CM no
Rank $1$

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

Elliptic curves in class 201810.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
201810.h1 201810cr1 \([1, 1, 0, -229218, 241624908]\) \(-1500730351849/27572219640\) \(-24470446423840494840\) \([]\) \(5806080\) \(2.4014\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 201810.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 201810.h do not have complex multiplication.

Modular form 201810.2.a.h

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