Properties

Label 378560.gp
Number of curves $1$
Conductor $378560$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gp1")
 
E.isogeny_class()
 

Elliptic curves in class 378560.gp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
378560.gp1 378560gp1 \([0, 1, 0, -15829441, 25432654495]\) \(-693346671296498/40610171875\) \(-25692411408914432000000\) \([]\) \(33546240\) \(3.0561\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 378560.gp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 378560.gp do not have complex multiplication.

Modular form 378560.2.a.gp

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} - 2 q^{9} + 5 q^{11} - q^{15} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display