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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 20181e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20181.a1 | 20181e1 | \([0, -1, 1, -129094, -22985136]\) | \(-278966272/107163\) | \(-91398362245289883\) | \([]\) | \(312480\) | \(1.9640\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20181e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20181e do not have complex multiplication.Modular form 20181.2.a.e
sage: E.q_eigenform(10)