Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 19600m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19600.db1 19600m1 \([0, 1, 0, -1633, 196363]\) \(-1024/35\) \(-16470860000000\) \([]\) \(36864\) \(1.2163\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600m1 has rank \(0\).

Complex multiplication

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

Modular form 19600.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} + 5 q^{11} + q^{13} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display