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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 4018.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4018.e1 | 4018a1 | \([1, 1, 0, 122, -1336]\) | \(34391/164\) | \(-945427364\) | \([]\) | \(1344\) | \(0.40459\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4018.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4018.e do not have complex multiplication.Modular form 4018.2.a.e
sage: E.q_eigenform(10)