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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 187272a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187272.f1 | 187272a1 | \([0, 0, 0, -7803, 132651]\) | \(2304\) | \(22804788990096\) | \([]\) | \(368640\) | \(1.2593\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187272a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 187272a do not have complex multiplication.Modular form 187272.2.a.a
sage: E.q_eigenform(10)