Properties

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

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 303450.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.bt1 303450bt1 \([1, 0, 1, 30194, -2054092]\) \(3491443/4116\) \(-3589027203394500\) \([]\) \(2115072\) \(1.6710\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450.bt1 has rank \(0\).

Complex multiplication

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

Modular form 303450.2.a.bt

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{7} - q^{8} + q^{9} - 5 q^{11} + q^{12} - q^{13} + q^{14} + q^{16} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display