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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 8002.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8002.a1 | 8002b1 | \([1, 1, 1, 10, 3]\) | \(109902239/64016\) | \(-64016\) | \([]\) | \(480\) | \(-0.38833\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8002.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8002.a do not have complex multiplication.Modular form 8002.2.a.a
sage: E.q_eigenform(10)