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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 121275.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.bc1 | 121275ga1 | \([1, -1, 1, 96790, 27142742]\) | \(3895843/14641\) | \(-376867495990495125\) | \([]\) | \(1370880\) | \(2.0554\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121275.bc do not have complex multiplication.Modular form 121275.2.a.bc
sage: E.q_eigenform(10)