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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 22050.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22050.v1 | 22050cm1 | \([1, -1, 0, -336492, -89464334]\) | \(-125768785/30618\) | \(-1025776208116406250\) | \([]\) | \(322560\) | \(2.1744\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22050.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22050.v do not have complex multiplication.Modular form 22050.2.a.v
sage: E.q_eigenform(10)