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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 271522949.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
271522949.a1 | \([0, 1, 1, -332, 2082]\) | \(4059246481408/271522949\) | \(271522949\) | \([]\) | \(\) | \(0.36738\) |
Rank
sage: E.rank()
The elliptic curve 271522949.a1 has rank \(5\).
Complex multiplication
The elliptic curves in class 271522949.a do not have complex multiplication.Modular form 271522949.2.a.a
sage: E.q_eigenform(10)