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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 213444.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213444.bp1 | 213444bk1 | \([0, 0, 0, 195657, -311355506]\) | \(176/9\) | \(-42358417287023464704\) | \([]\) | \(4561920\) | \(2.4458\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444.bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213444.bp do not have complex multiplication.Modular form 213444.2.a.bp
sage: E.q_eigenform(10)