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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 36225.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36225.bi1 | 36225ci1 | \([0, 0, 1, -3090, -66119]\) | \(-35806478336/3703\) | \(-337435875\) | \([]\) | \(16320\) | \(0.66892\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36225.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36225.bi do not have complex multiplication.Modular form 36225.2.a.bi
sage: E.q_eigenform(10)