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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 189618.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
189618.bi1 | 189618a1 | \([1, 0, 0, 900, 243216]\) | \(477017570471/151393093632\) | \(-25585432823808\) | \([]\) | \(1013760\) | \(1.2519\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 189618.bi1 has rank \(2\).
Complex multiplication
The elliptic curves in class 189618.bi do not have complex multiplication.Modular form 189618.2.a.bi
sage: E.q_eigenform(10)