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Properties

Label 412200.bb
Number of curves $1$
Conductor $412200$
CM no
Rank $1$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 412200.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 412200.bb do not have complex multiplication.

Modular form 412200.2.a.bb

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

Elliptic curves in class 412200.bb

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412200.bb1 412200bb1 \([0, 0, 0, 11925, -722250]\) \(16078716/28625\) \(-333882000000000\) \([]\) \(1032192\) \(1.4716\) \(\Gamma_0(N)\)-optimal