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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 379050.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.bc1 | 379050bc1 | \([1, 1, 0, -1358835775, -19200323331875]\) | \(1045624609074291409/5003023725000\) | \(1327643262955564808203125000\) | \([]\) | \(275788800\) | \(4.0534\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.bc1 has rank \(2\).
Complex multiplication
The elliptic curves in class 379050.bc do not have complex multiplication.Modular form 379050.2.a.bc
sage: E.q_eigenform(10)