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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 426888bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.bc1 | 426888bc1 | \([0, 0, 0, -795564, 273421764]\) | \(-1905527808/2401\) | \(-70165875617139456\) | \([]\) | \(6709248\) | \(2.1411\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 426888bc do not have complex multiplication.Modular form 426888.2.a.bc
sage: E.q_eigenform(10)