Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 63175.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63175.t1 63175e1 \([1, -1, 0, -8912, 989281]\) \(-66560265/319333\) \(-375582557934325\) \([]\) \(216000\) \(1.4812\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63175.t1 has rank \(0\).

Complex multiplication

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

Modular form 63175.2.a.t

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