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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 121275bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.h1 | 121275bz1 | \([0, 0, 1, -40635, 3152756]\) | \(61549867008/1331\) | \(160463197125\) | \([]\) | \(470016\) | \(1.2666\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121275bz do not have complex multiplication.Modular form 121275.2.a.bz
sage: E.q_eigenform(10)