Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("v1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30960.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.v1 30960bg1 \([0, 0, 0, 2277, -10422]\) \(437245479/268750\) \(-802483200000\) \([]\) \(30720\) \(0.97341\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30960.v1 has rank \(1\).

Complex multiplication

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

Modular form 30960.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3q^{7} - 3q^{13} + 4q^{17} + q^{19} + O(q^{20})\)  Toggle raw display