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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 61200bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61200.ba1 | 61200bz1 | \([0, 0, 0, -75, -10375]\) | \(-256/255\) | \(-46473750000\) | \([]\) | \(36864\) | \(0.72587\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61200bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 61200bz do not have complex multiplication.Modular form 61200.2.a.bz
sage: E.q_eigenform(10)