Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30960.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.w1 30960bh1 \([0, 0, 0, 17313113157, -5791074962949142]\) \(192203697666261893287480365959/4963160303408775168000000000\) \(-14819917255413748111245312000000000\) \([]\) \(205148160\) \(5.2369\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30960.w1 has rank \(1\).

Complex multiplication

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

Modular form 30960.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3q^{7} + 4q^{11} - 3q^{13} - 7q^{19} + O(q^{20})\)  Toggle raw display