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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 31200.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31200.bp1 | 31200bz1 | \([0, 1, 0, -833, -4059537]\) | \(-1600/177957\) | \(-7118280000000000\) | \([]\) | \(230400\) | \(1.7207\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31200.bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 31200.bp do not have complex multiplication.Modular form 31200.2.a.bp
sage: E.q_eigenform(10)