Properties

Label 63525.s
Number of curves $1$
Conductor $63525$
CM no
Rank $1$

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

Elliptic curves in class 63525.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63525.s1 63525bk1 \([1, 0, 0, 9012, -1818783]\) \(24167/441\) \(-1477066664390625\) \([]\) \(342144\) \(1.5912\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63525.s1 has rank \(1\).

Complex multiplication

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

Modular form 63525.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{6} - q^{7} + 3 q^{8} + q^{9} - q^{12} - 7 q^{13} + q^{14} - q^{16} - 3 q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display