Properties

Label 214245.bb
Number of curves $1$
Conductor $214245$
CM no
Rank $0$

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

Elliptic curves in class 214245.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
214245.bb1 214245bd1 \([0, 0, 1, -14283, -574891]\) \(36864/5\) \(43706856047805\) \([]\) \(855360\) \(1.3446\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 214245.bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 214245.bb do not have complex multiplication.

Modular form 214245.2.a.bb

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