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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 44100bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44100.bb1 | 44100bc1 | \([0, 0, 0, 29400, 416500]\) | \(401408/243\) | \(-1701319788000000\) | \([]\) | \(184320\) | \(1.6117\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44100bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44100bc do not have complex multiplication.Modular form 44100.2.a.bc
sage: E.q_eigenform(10)