Properties

Label 1900b
Number of curves $1$
Conductor $1900$
CM no
Rank $0$

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

Elliptic curves in class 1900b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1900.b1 1900b1 \([0, 1, 0, -533, -4937]\) \(-4194304/19\) \(-76000000\) \([]\) \(840\) \(0.36379\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1900b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1900b do not have complex multiplication.

Modular form 1900.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 3 q^{7} + q^{9} + 5 q^{11} + 4 q^{13} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display