Properties

Label 200900.b
Number of curves $1$
Conductor $200900$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 200900.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200900.b1 200900b1 \([0, -1, 0, -620258, -187082363]\) \(373698304/1681\) \(118710223392250000\) \([]\) \(2399040\) \(2.1279\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200900.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 200900.b do not have complex multiplication.

Modular form 200900.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} - 5 q^{11} - 2 q^{13} - 3 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display