Properties

Label 418950.bd
Number of curves $1$
Conductor $418950$
CM no
Rank $1$

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

Elliptic curves in class 418950.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.bd1 418950bd1 \([1, -1, 0, 31221468, -14148451724]\) \(6407104400643499/3872252373348\) \(-2034161901769998176536500\) \([]\) \(84768768\) \(3.3536\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418950.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 418950.bd do not have complex multiplication.

Modular form 418950.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 4 q^{11} - q^{13} + q^{16} + 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display