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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 87120d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
87120.z1 | 87120d1 | \([0, 0, 0, 1452, -56628]\) | \(3345408/15625\) | \(-1581228000000\) | \([]\) | \(138240\) | \(1.0231\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87120d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 87120d do not have complex multiplication.Modular form 87120.2.a.d
sage: E.q_eigenform(10)