Properties

Label 12480.f
Number of curves $1$
Conductor $12480$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 12480.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12480.f1 12480i1 \([0, -1, 0, -421, 5245]\) \(-504871936/394875\) \(-6469632000\) \([]\) \(7680\) \(0.58118\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12480.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 12480.f do not have complex multiplication.

Modular form 12480.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} + 3 q^{11} + q^{13} + q^{15} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display