Properties

Label 378.h
Number of curves $1$
Conductor $378$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 378.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
378.h1 378g1 \([1, -1, 1, 3967, 38449]\) \(38983348653/26353376\) \(-4668421498272\) \([]\) \(1260\) \(1.1197\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 378.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 378.h do not have complex multiplication.

Modular form 378.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 4 q^{5} - q^{7} + q^{8} + 4 q^{10} - 4 q^{11} + 3 q^{13} - q^{14} + q^{16} - 7 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display