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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 160446.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.e1 | 160446br1 | \([1, 1, 0, 27223, -1273653]\) | \(1259362112399/1131450606\) | \(-2004433767015966\) | \([]\) | \(875520\) | \(1.6236\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160446.e do not have complex multiplication.Modular form 160446.2.a.e
sage: E.q_eigenform(10)