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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 214371643.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
214371643.a1 | \([0, 1, 1, -100, 770]\) | \(-111701610496/214371643\) | \(-214371643\) | \([]\) | \(\) | \(0.28831\) |
Rank
sage: E.rank()
The elliptic curve 214371643.a1 has rank \(5\).
Complex multiplication
The elliptic curves in class 214371643.a do not have complex multiplication.Modular form 214371643.2.a.a
sage: E.q_eigenform(10)