Properties

Label 30912.ck
Number of curves $1$
Conductor $30912$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ck1")
 
E.isogeny_class()
 

Elliptic curves in class 30912.ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30912.ck1 30912x1 \([0, 1, 0, -1569, -34497]\) \(-3261064466/1917027\) \(-251268562944\) \([]\) \(38400\) \(0.89004\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30912.ck1 has rank \(1\).

Complex multiplication

The elliptic curves in class 30912.ck do not have complex multiplication.

Modular form 30912.2.a.ck

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} - q^{7} + q^{9} + q^{13} + 3 q^{15} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display