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SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 23232cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23232.cb1 | 23232cl1 | \([0, 1, 0, 1775, -4831]\) | \(45056/27\) | \(-370412146368\) | \([]\) | \(31680\) | \(0.90911\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23232cl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23232cl do not have complex multiplication.Modular form 23232.2.a.cl
sage: E.q_eigenform(10)