Properties

Label 7800.m
Number of curves $1$
Conductor $7800$
CM no
Rank $1$

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

Elliptic curves in class 7800.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7800.m1 7800x1 \([0, 1, 0, 47, -2077]\) \(351232/59319\) \(-1898208000\) \([]\) \(5760\) \(0.45962\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7800.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7800.m do not have complex multiplication.

Modular form 7800.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{3} - 5 q^{7} + q^{9} + 5 q^{11} + q^{13} - 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display