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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 142912.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142912.r1 | 142912bk1 | \([0, -1, 0, -89, -287]\) | \(76995328/2233\) | \(2286592\) | \([]\) | \(18432\) | \(-0.0019769\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142912.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142912.r do not have complex multiplication.Modular form 142912.2.a.r
sage: E.q_eigenform(10)