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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 20570.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20570.e1 | 20570c1 | \([1, 0, 1, 602, 7258]\) | \(13651919/20570\) | \(-36441009770\) | \([]\) | \(15360\) | \(0.71196\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20570.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20570.e do not have complex multiplication.Modular form 20570.2.a.e
sage: E.q_eigenform(10)