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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 83790v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 83790.z1 | 83790v1 | \([1, -1, 0, 833040, 388069380]\) | \(15212799330239/24301025460\) | \(-102126029811295592340\) | \([]\) | \(3548160\) | \(2.5246\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83790v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83790v do not have complex multiplication.Modular form 83790.2.a.v
sage: E.q_eigenform(10)