Properties

Label 63525cj
Number of curves $1$
Conductor $63525$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 63525cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63525.g1 63525cj1 \([0, 1, 1, -5958, 162344]\) \(28121600000/2250423\) \(1872070633125\) \([]\) \(207360\) \(1.0982\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63525cj1 has rank \(2\).

Complex multiplication

The elliptic curves in class 63525cj do not have complex multiplication.

Modular form 63525.2.a.cj

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