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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 10003a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10003.a1 | 10003a1 | \([1, 1, 1, 52, 208]\) | \(15531437375/24017203\) | \(-24017203\) | \([]\) | \(1960\) | \(0.10148\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10003a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10003a do not have complex multiplication.Modular form 10003.2.a.a
sage: E.q_eigenform(10)