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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 20808.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20808.x1 | 20808j1 | \([0, 0, 0, -12277587, -16564051762]\) | \(-68001122/27\) | \(-81266294666317142016\) | \([]\) | \(881280\) | \(2.7844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20808.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20808.x do not have complex multiplication.Modular form 20808.2.a.x
sage: E.q_eigenform(10)