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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 71148d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.a1 | 71148d1 | \([0, -1, 0, 180, 2136]\) | \(784/3\) | \(-2454321408\) | \([]\) | \(55296\) | \(0.48454\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 71148d do not have complex multiplication.Modular form 71148.2.a.d
sage: E.q_eigenform(10)