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Properties

Label 418950m
Number of curves $1$
Conductor $418950$
CM no
Rank $0$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 418950m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 418950m do not have complex multiplication.

Modular form 418950.2.a.m

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 5 q^{11} - q^{13} + q^{16} - 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 418950m

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.m1 418950m1 \([1, -1, 0, -16970992908417, 26919090475475527741]\) \(-138357846491853121383730987168838623/55816105091607428996184145920\) \(-218072650466268168722013392732160000000\) \([]\) \(26266705920\) \(6.3198\) \(\Gamma_0(N)\)-optimal