Properties

Label 372810.bz
Number of curves $1$
Conductor $372810$
CM no
Rank $0$

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

Elliptic curves in class 372810.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
372810.bz1 372810bz1 \([1, 1, 1, -75435, 11085465]\) \(-6805364401/3715200\) \(-25916334044803200\) \([]\) \(2878848\) \(1.8531\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 372810.bz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 372810.bz do not have complex multiplication.

Modular form 372810.2.a.bz

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + q^{8} + q^{9} + q^{10} - q^{12} + 2 q^{13} - q^{14} - q^{15} + q^{16} + q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display