Properties

Label 417450.bb
Number of curves $1$
Conductor $417450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 417450.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
417450.bb1 417450bb1 \([1, 1, 0, -1575, 22125]\) \(9150625/552\) \(26090625000\) \([]\) \(432000\) \(0.75121\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 417450.bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 417450.bb do not have complex multiplication.

Modular form 417450.2.a.bb

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