Properties

Label 253575.dh
Number of curves $1$
Conductor $253575$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("dh1")
 
E.isogeny_class()
 

Elliptic curves in class 253575.dh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
253575.dh1 253575dh1 \([0, 0, 1, -3785250, 2834841406]\) \(-35806478336/3703\) \(-620296769654296875\) \([]\) \(3916800\) \(2.4466\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 253575.dh1 has rank \(2\).

Complex multiplication

The elliptic curves in class 253575.dh do not have complex multiplication.

Modular form 253575.2.a.dh

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + q^{11} - q^{13} + 4 q^{16} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display