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Properties

Label 418950h
Number of curves $1$
Conductor $418950$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("h1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 418950h1 has rank \(1\).

Complex multiplication

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

Modular form 418950.2.a.h

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 6 q^{11} + q^{13} + q^{16} - 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 418950h

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.h1 418950h1 \([1, -1, 0, -47229492, -185067073584]\) \(-1095008203125/757071872\) \(-8055328920145920000000000\) \([]\) \(112896000\) \(3.4793\) \(\Gamma_0(N)\)-optimal