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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 797611.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
797611.a1 | \([0, 1, 1, -2, 42]\) | \(-1404928/797611\) | \(-797611\) | \([]\) | \(365712\) | \(-0.18847\) |
Rank
sage: E.rank()
The elliptic curve 797611.a1 has rank \(4\).
Complex multiplication
The elliptic curves in class 797611.a do not have complex multiplication.Modular form 797611.2.a.a
sage: E.q_eigenform(10)