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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 6018.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6018.e1 | 6018e1 | \([1, 0, 1, -3885, 94864]\) | \(-6482403749185993/162851918472\) | \(-162851918472\) | \([]\) | \(8400\) | \(0.93563\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6018.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6018.e do not have complex multiplication.Modular form 6018.2.a.e
sage: E.q_eigenform(10)