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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 169338.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169338.m1 | 169338t1 | \([1, 0, 1, -4567, 182522]\) | \(-2181825073/1731456\) | \(-8357407403904\) | \([]\) | \(430080\) | \(1.1780\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169338.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 169338.m do not have complex multiplication.Modular form 169338.2.a.m
sage: E.q_eigenform(10)