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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 453152.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
453152.r1 | 453152r1 | \([0, -1, 0, -18881, 593713]\) | \(18496/7\) | \(281735720562688\) | \([]\) | \(1990656\) | \(1.4721\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 453152.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 453152.r do not have complex multiplication.Modular form 453152.2.a.r
sage: E.q_eigenform(10)