Properties

Label 31200f
Number of curves $1$
Conductor $31200$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 31200f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
31200.f1 31200f1 \([0, -1, 0, -2349133, -1402142363]\) \(-22400965661211136/321826171875\) \(-20596875000000000000\) \([]\) \(709632\) \(2.5109\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 31200f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 31200f do not have complex multiplication.

Modular form 31200.2.a.f

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