Properties

Label 38514bd
Number of curves $1$
Conductor $38514$
CM no
Rank $0$

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

Elliptic curves in class 38514bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38514.bf1 38514bd1 \([1, 0, 0, -42190, -3305212]\) \(70593496254289/824180736\) \(96964039409664\) \([]\) \(166320\) \(1.4961\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38514bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 38514bd do not have complex multiplication.

Modular form 38514.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + q^{8} + q^{9} + q^{10} + q^{11} + q^{12} + 2 q^{13} + q^{15} + q^{16} + 5 q^{17} + q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display