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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 36225bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36225.bd1 | 36225bz1 | \([0, 0, 1, -77250, -8264844]\) | \(-35806478336/3703\) | \(-5272435546875\) | \([]\) | \(81600\) | \(1.4736\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36225bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36225bz do not have complex multiplication.Modular form 36225.2.a.bz
sage: E.q_eigenform(10)