Properties

Label 190575.dp
Number of curves $1$
Conductor $190575$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dp1")
 
E.isogeny_class()
 

Elliptic curves in class 190575.dp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190575.dp1 190575dn1 \([1, -1, 0, -1715742, 23796343291]\) \(-3025/1323\) \(-244294825123561201171875\) \([]\) \(24330240\) \(3.1668\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190575.dp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 190575.dp do not have complex multiplication.

Modular form 190575.2.a.dp

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} + q^{7} - 3 q^{8} - 5 q^{13} + q^{14} - q^{16} - 8 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display