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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 481338.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
481338.j1 | 481338j1 | \([1, -1, 0, 2149482, -18171453646]\) | \(2151329301/280640386\) | \(-143274305871367759812438\) | \([]\) | \(42425856\) | \(3.1226\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 481338.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 481338.j do not have complex multiplication.Modular form 481338.2.a.j
sage: E.q_eigenform(10)