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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 284592.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.bc1 | 284592bc1 | \([0, -1, 0, -62344, -6720272]\) | \(-2047314227/314928\) | \(-4122317506019328\) | \([]\) | \(1741824\) | \(1.7253\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284592.bc do not have complex multiplication.Modular form 284592.2.a.bc
sage: E.q_eigenform(10)