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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 505283.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
505283.a1 | \([1, 1, 1, -5134, -143730]\) | \(-14965684732064737/505283\) | \(-505283\) | \([]\) | \(216238\) | \(0.59342\) |
Rank
sage: E.rank()
The elliptic curve 505283.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 505283.a do not have complex multiplication.Modular form 505283.2.a.a
sage: E.q_eigenform(10)