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SageMath
E = EllipticCurve("ir1")
E.isogeny_class()
Elliptic curves in class 474320.ir
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
474320.ir1 | 474320ir1 | \([0, -1, 0, 180, -3793]\) | \(12544/125\) | \(-6391462000\) | \([]\) | \(248832\) | \(0.56265\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 474320.ir1 has rank \(0\).
Complex multiplication
The elliptic curves in class 474320.ir do not have complex multiplication.Modular form 474320.2.a.ir
sage: E.q_eigenform(10)