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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 9450.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.bc1 | 9450bl1 | \([1, -1, 0, 99183, 4905341]\) | \(38983348653/26353376\) | \(-72944085910500000\) | \([]\) | \(100800\) | \(1.9244\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9450.bc do not have complex multiplication.Modular form 9450.2.a.bc
sage: E.q_eigenform(10)