Properties

Label 333200.b
Number of curves $1$
Conductor $333200$
CM no
Rank $0$

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

Elliptic curves in class 333200.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
333200.b1 333200b1 \([0, 0, 0, -111475, -35414750]\) \(-1660932/4913\) \(-453159477008000000\) \([]\) \(8257536\) \(2.0748\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 333200.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 333200.b do not have complex multiplication.

Modular form 333200.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} - 5 q^{11} + 7 q^{13} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display