Properties

Label 63525bh
Number of curves $1$
Conductor $63525$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 63525bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63525.by1 63525bh1 \([1, 0, 1, -80501, 8805773]\) \(-30515071121161/85766121\) \(-162151572515625\) \([]\) \(362880\) \(1.5989\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63525bh1 has rank \(1\).

Complex multiplication

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

Modular form 63525.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} - q^{4} + q^{6} - q^{7} - 3 q^{8} + q^{9} - q^{12} - 5 q^{13} - q^{14} - q^{16} + 7 q^{17} + q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display