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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 272832.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272832.a1 | 272832a1 | \([0, -1, 0, -9865, 403201]\) | \(-881395456/63423\) | \(-7640732187648\) | \([]\) | \(887040\) | \(1.2218\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272832.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 272832.a do not have complex multiplication.Modular form 272832.2.a.a
sage: E.q_eigenform(10)