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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 6008.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6008.a1 | 6008a1 | \([0, 0, 0, -11, 15]\) | \(-9199872/751\) | \(-12016\) | \([]\) | \(416\) | \(-0.47112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6008.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 6008.a do not have complex multiplication.Modular form 6008.2.a.a
sage: E.q_eigenform(10)