Properties

Label 351975.bz
Number of curves $1$
Conductor $351975$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 351975.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
351975.bz1 351975bz1 \([0, 1, 1, -3008, 578519]\) \(-4096/195\) \(-143342918671875\) \([]\) \(2052864\) \(1.3964\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 351975.bz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 351975.bz do not have complex multiplication.

Modular form 351975.2.a.bz

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + q^{3} + 2 q^{4} + 2 q^{6} + 3 q^{7} + q^{9} - 5 q^{11} + 2 q^{12} + q^{13} + 6 q^{14} - 4 q^{16} - 5 q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display