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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 501367.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
501367.a1 | \([1, 1, 0, -9, 32]\) | \(-95443993/501367\) | \(-501367\) | \([]\) | \(56132\) | \(-0.22203\) |
Rank
sage: E.rank()
The elliptic curve 501367.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 501367.a do not have complex multiplication.Modular form 501367.2.a.a
sage: E.q_eigenform(10)