Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("v1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15600.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.v1 15600bp1 \([0, -1, 0, -53, -1923]\) \(-32768/3159\) \(-1617408000\) \([]\) \(5760\) \(0.44657\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.v1 has rank \(1\).

Complex multiplication

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

Modular form 15600.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} + q^{11} - q^{13} - q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display