Properties

Label 215950.bb
Number of curves $1$
Conductor $215950$
CM no
Rank $1$

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

Elliptic curves in class 215950.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215950.bb1 215950i1 \([1, 1, 1, -1805313, 5850961031]\) \(-41644843049165718601/922637939453125000\) \(-14416217803955078125000\) \([]\) \(17791488\) \(2.9327\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215950.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 215950.bb do not have complex multiplication.

Modular form 215950.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{2} + 2 q^{3} + q^{4} + 2 q^{6} + q^{7} + q^{8} + q^{9} + q^{11} + 2 q^{12} + 3 q^{13} + q^{14} + q^{16} - 4 q^{17} + q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display