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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 43120.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43120.j1 | 43120bb1 | \([0, 1, 0, -355266, -85805105]\) | \(-129084391106508544/7863818359375\) | \(-302096446093750000\) | \([]\) | \(411840\) | \(2.1089\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43120.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43120.j do not have complex multiplication.Modular form 43120.2.a.j
sage: E.q_eigenform(10)