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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 418950m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 418950.m1 | 418950m1 | \([1, -1, 0, -16970992908417, 26919090475475527741]\) | \(-138357846491853121383730987168838623/55816105091607428996184145920\) | \(-218072650466268168722013392732160000000\) | \([]\) | \(26266705920\) | \(6.3198\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 418950m do not have complex multiplication.Modular form 418950.2.a.m
sage: E.q_eigenform(10)