Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30960.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.b1 30960bq1 \([0, 0, 0, -2592048, -1606248272]\) \(-645008376471556096/783675\) \(-2340041011200\) \([]\) \(368640\) \(2.0849\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30960.b1 has rank \(0\).

Complex multiplication

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

Modular form 30960.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4q^{7} + q^{11} + 5q^{13} + 3q^{17} + O(q^{20})\)  Toggle raw display