Properties

Label 30960.q
Number of curves $1$
Conductor $30960$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30960.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.q1 30960bo1 \([0, 0, 0, 261312, 243016112]\) \(660867352100864/8926548046875\) \(-26654529643200000000\) \([]\) \(884736\) \(2.4082\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30960.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 30960.q do not have complex multiplication.

Modular form 30960.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{5} + 2q^{7} - 5q^{11} - 5q^{13} - 5q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display