Properties

Label 38025.bd
Number of curves $1$
Conductor $38025$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 38025.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38025.bd1 38025cm1 \([1, -1, 1, -370805, 86989322]\) \(117161545345/19683\) \(947252063671875\) \([]\) \(362880\) \(1.8811\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38025.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 38025.bd do not have complex multiplication.

Modular form 38025.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} + 4 q^{7} + 3 q^{8} + 5 q^{11} - 4 q^{14} - q^{16} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display