Properties

Label 303450.bz
Number of curves $1$
Conductor $303450$
CM no
Rank $0$

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

Elliptic curves in class 303450.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.bz1 303450bz1 \([1, 0, 1, -1883564876, -29813694422902]\) \(169509511882593486025/10023474416320512\) \(43700828902700589640581120000\) \([]\) \(309623040\) \(4.2487\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450.bz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 303450.bz do not have complex multiplication.

Modular form 303450.2.a.bz

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