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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 1296.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1296.d1 | 1296b1 | \([0, 0, 0, -3, -14]\) | \(-36\) | \(-82944\) | \([]\) | \(96\) | \(-0.37566\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1296.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1296.d do not have complex multiplication.Modular form 1296.2.a.d
sage: E.q_eigenform(10)