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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 287490.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
287490.j1 | 287490j1 | \([1, 1, 0, -29898988, 63030528592]\) | \(-841549001275369/1806336000\) | \(-6344718086877843456000\) | \([]\) | \(34525440\) | \(3.0678\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 287490.j do not have complex multiplication.Modular form 287490.2.a.j
sage: E.q_eigenform(10)