Properties

Label 63175s
Number of curves $1$
Conductor $63175$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 63175s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63175.p1 63175s1 \([0, -1, 1, -22863, -1229222]\) \(622592/49\) \(104024323626125\) \([]\) \(196992\) \(1.4335\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63175s1 has rank \(1\).

Complex multiplication

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

Modular form 63175.2.a.s

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