Properties

Label 37905.h
Number of curves $1$
Conductor $37905$
CM no
Rank $0$

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

Elliptic curves in class 37905.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37905.h1 37905v1 \([1, 0, 0, -4323885, 3460303122]\) \(-526401738615601/65625\) \(-1114546324565625\) \([]\) \(684000\) \(2.3053\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37905.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 37905.h do not have complex multiplication.

Modular form 37905.2.a.h

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