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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 412224bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
412224.bl1 | 412224bl1 | \([0, -1, 0, -1889, -38463]\) | \(-22761429704/6975603\) | \(-228576559104\) | \([]\) | \(520704\) | \(0.89331\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 412224bl do not have complex multiplication.Modular form 412224.2.a.bl
sage: E.q_eigenform(10)