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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 8350c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 8350.b1 | 8350c1 | \([1, 1, 0, -16294012950, -800559991923500]\) | \(-1224751130206834971784807336585/61328559574089728\) | \(-23956468583628800000000\) | \([]\) | \(7685040\) | \(4.2165\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8350c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8350c do not have complex multiplication.Modular form 8350.2.a.c
sage: E.q_eigenform(10)