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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 238260r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
238260.r1 | 238260r1 | \([0, 1, 0, -893956, -436081756]\) | \(-18172047184/8353125\) | \(-36317651206874400000\) | \([]\) | \(4924800\) | \(2.4596\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 238260r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 238260r do not have complex multiplication.Modular form 238260.2.a.r
sage: E.q_eigenform(10)