Properties

Label 15600.r
Number of curves $1$
Conductor $15600$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15600.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.r1 15600c1 \([0, -1, 0, -5208, -191088]\) \(-781250/351\) \(-7020000000000\) \([]\) \(31680\) \(1.1718\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15600.r do not have complex multiplication.

Modular form 15600.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 4q^{11} - q^{13} - 8q^{17} - 5q^{19} + O(q^{20})\)  Toggle raw display