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SageMath
E = EllipticCurve("db1")
E.isogeny_class()
Elliptic curves in class 162288.db
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.db1 | 162288bh1 | \([0, 0, 0, 735, 59339]\) | \(32000/1127\) | \(-1546534693872\) | \([]\) | \(138240\) | \(1.0188\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.db1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162288.db do not have complex multiplication.Modular form 162288.2.a.db
sage: E.q_eigenform(10)