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SageMath
E = EllipticCurve("ez1")
E.isogeny_class()
Elliptic curves in class 106722ez
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106722.ey1 | 106722ez1 | \([1, -1, 1, -1447720616, -21207102493013]\) | \(-34068278205171/10307264\) | \(-101524580426307587911483968\) | \([]\) | \(50803200\) | \(3.9678\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106722ez1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106722ez do not have complex multiplication.Modular form 106722.2.a.ez
sage: E.q_eigenform(10)