Properties

Label 134640dp
Number of curves $1$
Conductor $134640$
CM no
Rank $2$

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

Elliptic curves in class 134640dp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134640.k1 134640dp1 \([0, 0, 0, -243, 18738]\) \(-19683/1870\) \(-150762332160\) \([]\) \(142848\) \(0.82449\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134640dp1 has rank \(2\).

Complex multiplication

The elliptic curves in class 134640dp do not have complex multiplication.

Modular form 134640.2.a.dp

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - q^{11} + 4 q^{13} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display