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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 83490m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 83490.i1 | 83490m1 | \([1, 1, 0, -5934839462, -177318516005484]\) | \(-891299756509130809578001/7865818224179281920\) | \(-204019067114821839906322513920\) | \([]\) | \(157893120\) | \(4.4480\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83490m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 83490m do not have complex multiplication.Modular form 83490.2.a.m
sage: E.q_eigenform(10)