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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 20808.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20808.z1 | 20808f1 | \([0, 0, 0, -1857114, -974105423]\) | \(-235052181504\) | \(-3013527214512\) | \([]\) | \(342720\) | \(2.0249\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20808.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20808.z do not have complex multiplication.Modular form 20808.2.a.z
sage: E.q_eigenform(10)