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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 126852.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126852.d1 | 126852b1 | \([0, -1, 0, -165, 2178]\) | \(-32505856/107811\) | \(-1657701936\) | \([]\) | \(60480\) | \(0.45532\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126852.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 126852.d do not have complex multiplication.Modular form 126852.2.a.d
sage: E.q_eigenform(10)