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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 4008.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4008.a1 | 4008d1 | \([0, -1, 0, 160, -2196]\) | \(219804478/1095687\) | \(-2243966976\) | \([]\) | \(1792\) | \(0.47653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4008.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4008.a do not have complex multiplication.Modular form 4008.2.a.a
sage: E.q_eigenform(10)