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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 206045.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206045.j1 | 206045j1 | \([0, 0, 1, -288463, -102476481]\) | \(-110592/125\) | \(-3000408316258605875\) | \([]\) | \(8457792\) | \(2.2398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206045.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206045.j do not have complex multiplication.Modular form 206045.2.a.j
sage: E.q_eigenform(10)