Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("br1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30960.br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.br1 30960j1 \([0, 0, 0, -6492, -1333924]\) \(-162140591104/4025041875\) \(-751169414880000\) \([]\) \(98304\) \(1.5350\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30960.br1 has rank \(1\).

Complex multiplication

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

Modular form 30960.2.a.br

sage: E.q_eigenform(10)
 
\(q + q^{5} + 2q^{7} - 3q^{11} + 3q^{13} - q^{17} + 2q^{19} + O(q^{20})\)  Toggle raw display