Properties

Label 432450.bs
Number of curves $1$
Conductor $432450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 432450.bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
432450.bs1 432450bs1 \([1, -1, 0, -2248901848917, 1345167835880298741]\) \(-124427822010671478697670089/5317924709672681472000\) \(-53760079429360910161140989952000000000\) \([]\) \(16787865600\) \(6.0059\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 432450.bs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 432450.bs do not have complex multiplication.

Modular form 432450.2.a.bs

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} + 5 q^{11} + 2 q^{13} + q^{14} + q^{16} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display