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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 128122e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
128122.a1 | 128122e1 | \([1, -1, 0, -2623, -73967]\) | \(-185193/116\) | \(-1250388978164\) | \([]\) | \(401672\) | \(1.0228\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 128122e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 128122e do not have complex multiplication.Modular form 128122.2.a.e
sage: E.q_eigenform(10)