Properties

Label 78400.m
Number of curves $1$
Conductor $78400$
CM no
Rank $1$

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

Elliptic curves in class 78400.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
78400.m1 78400fs1 \([0, 0, 0, 48020, -73950800]\) \(1323/256\) \(-2369574133563392000\) \([]\) \(1548288\) \(2.2050\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 78400.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 78400.m do not have complex multiplication.

Modular form 78400.2.a.m

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} - 2 q^{13} + 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display