Properties

Label 397800.m
Number of curves $1$
Conductor $397800$
CM no
Rank $1$

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

Elliptic curves in class 397800.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.m1 397800m1 \([0, 0, 0, -2308875, -1351356250]\) \(-12603791802222/10793861\) \(-1165736988000000000\) \([]\) \(7925760\) \(2.3935\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 397800.m do not have complex multiplication.

Modular form 397800.2.a.m

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