Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 378.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
378.c1 378d1 \([1, -1, 0, 0, 4]\) \(-3/28\) \(-6804\) \([]\) \(24\) \(-0.58565\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 378.c1 has rank \(1\).

Complex multiplication

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

Modular form 378.2.a.c

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