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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 53900m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53900.be1 | 53900m1 | \([0, -1, 0, -435201258, -3673671463363]\) | \(-129084391106508544/7863818359375\) | \(-555333512288806152343750000\) | \([]\) | \(17297280\) | \(3.8866\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53900m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 53900m do not have complex multiplication.Modular form 53900.2.a.m
sage: E.q_eigenform(10)