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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 412224.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
412224.d1 | 412224d1 | \([0, -1, 0, -417, -551391]\) | \(-30664297/501264384\) | \(-131403450679296\) | \([]\) | \(1216512\) | \(1.3880\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 412224.d do not have complex multiplication.Modular form 412224.2.a.d
sage: E.q_eigenform(10)