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SageMath
E = EllipticCurve("fl1")
E.isogeny_class()
Elliptic curves in class 22050.fl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22050.fl1 | 22050dn1 | \([1, -1, 1, 444445, -327321053]\) | \(10733445/57344\) | \(-51871349980800000000\) | \([]\) | \(898560\) | \(2.4650\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22050.fl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22050.fl do not have complex multiplication.Modular form 22050.2.a.fl
sage: E.q_eigenform(10)