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SageMath
E = EllipticCurve("iv1")
E.isogeny_class()
Elliptic curves in class 474320iv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
474320.iv1 | 474320iv1 | \([0, -1, 0, 21740, 4961475]\) | \(12544/125\) | \(-11322864812182000\) | \([]\) | \(2737152\) | \(1.7616\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 474320iv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 474320iv do not have complex multiplication.Modular form 474320.2.a.iv
sage: E.q_eigenform(10)