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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 234416cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
234416.cb1 | 234416cb1 | \([0, 0, 0, -1200304, -709307536]\) | \(-396870925750272/221358574619\) | \(-106670550816156594176\) | \([]\) | \(14284800\) | \(2.5464\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416cb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 234416cb do not have complex multiplication.Modular form 234416.2.a.cb
sage: E.q_eigenform(10)