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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 1176.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1176.e1 | 1176f1 | \([0, 1, 0, -9, 27]\) | \(-7168/27\) | \(-338688\) | \([]\) | \(144\) | \(-0.25330\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1176.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1176.e do not have complex multiplication.Modular form 1176.2.a.e
sage: E.q_eigenform(10)