Properties

Label 40425t
Number of curves $1$
Conductor $40425$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 40425t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40425.bm1 40425t1 \([0, -1, 1, -160883, -80230207]\) \(-250523582464/1369738755\) \(-2517943668546796875\) \([]\) \(460800\) \(2.2149\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40425t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 40425t do not have complex multiplication.

Modular form 40425.2.a.t

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