Properties

Label 30960be
Number of curves $1$
Conductor $30960$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("be1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30960be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.u1 30960be1 \([0, 0, 0, -41808, 3301868]\) \(-43304636317696/176326875\) \(-32906826720000\) \([]\) \(98304\) \(1.4499\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30960be1 has rank \(1\).

Complex multiplication

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

Modular form 30960.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{5} + 2q^{7} + q^{11} - 5q^{13} + 3q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display