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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 162288.da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.da1 | 162288bw1 | \([0, 0, 0, 47040, 39239984]\) | \(1605632000/93710763\) | \(-671845032308846592\) | \([]\) | \(1216512\) | \(2.1004\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.da1 has rank \(2\).
Complex multiplication
The elliptic curves in class 162288.da do not have complex multiplication.Modular form 162288.2.a.da
sage: E.q_eigenform(10)