Properties

Label 457776.b
Number of curves $1$
Conductor $457776$
CM no
Rank $0$

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

Elliptic curves in class 457776.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
457776.b1 457776b1 \([0, 0, 0, 350268, -198190420]\) \(1055028224/4377483\) \(-19719027382268130048\) \([]\) \(14155776\) \(2.3850\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 457776.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 457776.b do not have complex multiplication.

Modular form 457776.2.a.b

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - 3 q^{7} - q^{11} - 4 q^{13} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display