Properties

Label 471510bd
Number of curves $1$
Conductor $471510$
CM no
Rank $0$

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

Elliptic curves in class 471510bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
471510.bd1 471510bd1 \([1, -1, 0, -309555, 74954101]\) \(-932288503609/148800000\) \(-523589071636800000\) \([]\) \(6635520\) \(2.1281\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 471510bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 471510bd do not have complex multiplication.

Modular form 471510.2.a.bd

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