Properties

Label 25350bt
Number of curves $1$
Conductor $25350$
CM no
Rank $1$

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

Elliptic curves in class 25350bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25350.br1 25350bt1 \([1, 0, 1, -56, 158]\) \(-895973/24\) \(-507000\) \([]\) \(6336\) \(-0.12330\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25350bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25350bt do not have complex multiplication.

Modular form 25350.2.a.bt

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} + 4 q^{7} - q^{8} + q^{9} - 5 q^{11} + q^{12} - 4 q^{14} + q^{16} + 2 q^{17} - q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display