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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 5808x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5808.a1 | 5808x1 | \([0, -1, 0, -205, 1201]\) | \(-30908416/3\) | \(-92928\) | \([]\) | \(2016\) | \(-0.010872\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5808x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5808x do not have complex multiplication.Modular form 5808.2.a.x
sage: E.q_eigenform(10)