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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 33800j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33800.bc1 | 33800j1 | \([0, 0, 0, 845, -21970]\) | \(270\) | \(-247132620800\) | \([]\) | \(51840\) | \(0.86895\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33800j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33800j do not have complex multiplication.Modular form 33800.2.a.j
sage: E.q_eigenform(10)