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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 28224.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.m1 | 28224df1 | \([0, 0, 0, 4116, 38416]\) | \(1512\) | \(-5100326977536\) | \([]\) | \(53760\) | \(1.1272\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 28224.m do not have complex multiplication.Modular form 28224.2.a.m
sage: E.q_eigenform(10)