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SageMath
E = EllipticCurve("nc1")
E.isogeny_class()
Elliptic curves in class 100800nc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 100800.li1 | 100800nc1 | \([0, 0, 0, -16950, -850250]\) | \(-738763264/875\) | \(-637875000000\) | \([]\) | \(138240\) | \(1.1767\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800nc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100800nc do not have complex multiplication.Modular form 100800.2.a.nc
sage: E.q_eigenform(10)