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SageMath
E = EllipticCurve("nc1")
E.isogeny_class()
Elliptic curves in class 374850.nc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 374850.nc1 | 374850nc1 | \([1, -1, 1, -20075, -3217413]\) | \(-417267265/1850688\) | \(-3968158273531200\) | \([]\) | \(1658880\) | \(1.6780\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374850.nc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 374850.nc do not have complex multiplication.Modular form 374850.2.a.nc
sage: E.q_eigenform(10)