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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 418600j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418600.j1 | 418600j1 | \([0, -1, 0, -27433, 2642237]\) | \(-570820369408/418447211\) | \(-1673788844000000\) | \([]\) | \(1520640\) | \(1.6206\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418600j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 418600j do not have complex multiplication.Modular form 418600.2.a.j
sage: E.q_eigenform(10)