Properties

Label 1078.m
Number of curves $1$
Conductor $1078$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1078.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1078.m1 1078h1 \([1, -1, 1, -279, 1495]\) \(415233/88\) \(507302488\) \([]\) \(1008\) \(0.38491\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1078.m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1078.m do not have complex multiplication.

Modular form 1078.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{2} + 3 q^{3} + q^{4} + 2 q^{5} + 3 q^{6} + q^{8} + 6 q^{9} + 2 q^{10} - q^{11} + 3 q^{12} - 7 q^{13} + 6 q^{15} + q^{16} + 2 q^{17} + 6 q^{18} + O(q^{20})\)  Toggle raw display