Properties

Label 253575g
Number of curves $1$
Conductor $253575$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 253575g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
253575.g1 253575g1 \([0, 0, 1, -202125, 35103906]\) \(-5451776/23\) \(-3852774966796875\) \([]\) \(2540160\) \(1.8453\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 253575g1 has rank \(1\).

Complex multiplication

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

Modular form 253575.2.a.g

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - 2 q^{13} - 4 q^{16} - 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display