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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 82764.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
82764.m1 | 82764a1 | \([0, 0, 0, 26136, 1293732]\) | \(221184/209\) | \(-1865664959761152\) | \([]\) | \(380160\) | \(1.6174\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 82764.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 82764.m do not have complex multiplication.Modular form 82764.2.a.m
sage: E.q_eigenform(10)