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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 162288.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.a1 | 162288c1 | \([0, 0, 0, -147, 143570]\) | \(-49/1242\) | \(-8904329699328\) | \([]\) | \(470016\) | \(1.1637\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 162288.a do not have complex multiplication.Modular form 162288.2.a.a
sage: E.q_eigenform(10)