Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30960.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.p1 30960bm1 \([0, 0, 0, -6483, 369682]\) \(-10091699281/13932000\) \(-41600729088000\) \([]\) \(92160\) \(1.3057\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30960.p1 has rank \(0\).

Complex multiplication

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

Modular form 30960.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 4q^{11} - 5q^{13} + 8q^{17} + 5q^{19} + O(q^{20})\)  Toggle raw display