Properties

Label 63175.h
Number of curves $1$
Conductor $63175$
CM no
Rank $0$

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

Elliptic curves in class 63175.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63175.h1 63175i1 \([1, 1, 1, 577412, -198258594]\) \(28962726911/39916625\) \(-29342387338619140625\) \([]\) \(1036800\) \(2.4212\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63175.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 63175.h do not have complex multiplication.

Modular form 63175.2.a.h

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