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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 153d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
153.d1 | 153d1 | \([0, 0, 1, -27, -61]\) | \(-110592/17\) | \(-334611\) | \([]\) | \(24\) | \(-0.21092\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 153d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 153d do not have complex multiplication.Modular form 153.2.a.d
sage: E.q_eigenform(10)