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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 1176.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1176.g1 | 1176d1 | \([0, 1, 0, 1944, -73872]\) | \(68782/243\) | \(-2868933924864\) | \([]\) | \(1680\) | \(1.0734\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1176.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1176.g do not have complex multiplication.Modular form 1176.2.a.g
sage: E.q_eigenform(10)