Properties

Label 19600.dp
Number of curves $1$
Conductor $19600$
CM no
Rank $0$

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

Elliptic curves in class 19600.dp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19600.dp1 19600s1 \([0, -1, 0, -6008, 210512]\) \(-15298178/3125\) \(-4900000000000\) \([]\) \(34560\) \(1.1573\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600.dp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 19600.dp do not have complex multiplication.

Modular form 19600.2.a.dp

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{9} + q^{11} - 3 q^{13} - 2 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display