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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 206310.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206310.e1 | 206310cn1 | \([1, 1, 0, 7761742, -1622707788]\) | \(349328659013909639/209872625664000\) | \(-31068680716934455296000\) | \([]\) | \(22302720\) | \(3.0051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206310.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206310.e do not have complex multiplication.Modular form 206310.2.a.e
sage: E.q_eigenform(10)