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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 27584m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27584.e1 | 27584m1 | \([0, -1, 0, 23, 41]\) | \(314432/431\) | \(-1765376\) | \([]\) | \(3840\) | \(-0.11563\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27584m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 27584m do not have complex multiplication.Modular form 27584.2.a.m
sage: E.q_eigenform(10)