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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 372400.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372400.bp1 | 372400bp1 | \([0, 1, 0, -11433, 1107763]\) | \(-7168/19\) | \(-438124876000000\) | \([]\) | \(1032192\) | \(1.4970\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372400.bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 372400.bp do not have complex multiplication.Modular form 372400.2.a.bp
sage: E.q_eigenform(10)