Properties

Label 57150.bt
Number of curves $1$
Conductor $57150$
CM no
Rank $1$

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

Elliptic curves in class 57150.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
57150.bt1 57150bh1 \([1, -1, 1, -2555, -48053]\) \(174828915/4064\) \(42862500000\) \([]\) \(72000\) \(0.82600\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 57150.bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 57150.bt do not have complex multiplication.

Modular form 57150.2.a.bt

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 2 q^{7} + q^{8} - q^{11} + 2 q^{14} + q^{16} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display