Properties

Label 257400d
Number of curves $1$
Conductor $257400$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 257400d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
257400.d1 257400d1 \([0, 0, 0, 2625, 3844375]\) \(439040/1401543\) \(-6385780293750000\) \([]\) \(1658880\) \(1.7117\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 257400d1 has rank \(2\).

Complex multiplication

The elliptic curves in class 257400d do not have complex multiplication.

Modular form 257400.2.a.d

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} + q^{11} + q^{13} - 2 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display