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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 180708d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
180708.b1 | 180708d1 | \([0, -1, 0, -12, -936]\) | \(-592/1089\) | \(-381655296\) | \([]\) | \(67392\) | \(0.32564\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180708d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 180708d do not have complex multiplication.Modular form 180708.2.a.d
sage: E.q_eigenform(10)