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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 466578.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.bc1 | 466578bc1 | \([1, -1, 0, -512010, 87790324]\) | \(327181002241/116169984\) | \(5270664470381081856\) | \([]\) | \(8847360\) | \(2.2934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578.bc do not have complex multiplication.Modular form 466578.2.a.bc
sage: E.q_eigenform(10)