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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 27808.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27808.a1 | 27808a1 | \([0, 0, 0, -364, 2656]\) | \(1302170688/9559\) | \(39153664\) | \([]\) | \(34560\) | \(0.28796\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27808.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 27808.a do not have complex multiplication.Modular form 27808.2.a.a
sage: E.q_eigenform(10)