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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 100014.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100014.a1 | 100014a1 | \([1, 1, 0, 20239, 521685]\) | \(916763542913931623/644335288713216\) | \(-644335288713216\) | \([]\) | \(520704\) | \(1.5301\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100014.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100014.a do not have complex multiplication.Modular form 100014.2.a.a
sage: E.q_eigenform(10)