Properties

Label 277200.jh
Number of curves $1$
Conductor $277200$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("jh1")
 
E.isogeny_class()
 

Elliptic curves in class 277200.jh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277200.jh1 277200jh1 \([0, 0, 0, -75, 1125]\) \(-6912/77\) \(-519750000\) \([]\) \(71680\) \(0.35441\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277200.jh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 277200.jh do not have complex multiplication.

Modular form 277200.2.a.jh

sage: E.q_eigenform(10)
 
\(q + q^{7} - q^{11} + q^{13} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display