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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 16900.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16900.m1 | 16900c1 | \([0, 1, 0, -2253, -28417]\) | \(40960/13\) | \(401590508800\) | \([]\) | \(12096\) | \(0.93044\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16900.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16900.m do not have complex multiplication.Modular form 16900.2.a.m
sage: E.q_eigenform(10)