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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 169065.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169065.m1 | 169065s1 | \([0, 0, 1, -18774018, -50657990902]\) | \(-1540318675894272/1442042265625\) | \(-685113949632876906796875\) | \([]\) | \(18385920\) | \(3.2701\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169065.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 169065.m do not have complex multiplication.Modular form 169065.2.a.m
sage: E.q_eigenform(10)