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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 503857.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
503857.a1 | \([1, -1, 0, 4, -35]\) | \(6128487/503857\) | \(-503857\) | \([]\) | \(40512\) | \(-0.22633\) |
Rank
sage: E.rank()
The elliptic curve 503857.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 503857.a do not have complex multiplication.Modular form 503857.2.a.a
sage: E.q_eigenform(10)