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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 151200.bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
151200.bx1 | 151200dw1 | \([0, 0, 0, -600, -2000]\) | \(13824/7\) | \(12096000000\) | \([]\) | \(82944\) | \(0.62720\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151200.bx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 151200.bx do not have complex multiplication.Modular form 151200.2.a.bx
sage: E.q_eigenform(10)