Properties

Label 102960.cf
Number of curves $1$
Conductor $102960$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cf1")
 
E.isogeny_class()
 

Elliptic curves in class 102960.cf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102960.cf1 102960cy1 \([0, 0, 0, -4008, 158668]\) \(-38153936896/36196875\) \(-6755205600000\) \([]\) \(215040\) \(1.1581\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102960.cf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 102960.cf do not have complex multiplication.

Modular form 102960.2.a.cf

sage: E.q_eigenform(10)
 
\(q - q^{5} + 4 q^{7} - q^{11} - q^{13} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display