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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 8016e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 8016.b1 | 8016e1 | \([0, -1, 0, -52216, -4581776]\) | \(-3843995587427449/6390046584\) | \(-26173630808064\) | \([]\) | \(24192\) | \(1.4705\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8016e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8016e do not have complex multiplication.Modular form 8016.2.a.e
sage: E.q_eigenform(10)