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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 192987.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
192987.d1 | 192987d1 | \([1, -1, 0, -45, -212]\) | \(-13997521/21443\) | \(-15631947\) | \([]\) | \(87360\) | \(0.071923\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 192987.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 192987.d do not have complex multiplication.Modular form 192987.2.a.d
sage: E.q_eigenform(10)