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SageMath
E = EllipticCurve("gh1")
E.isogeny_class()
Elliptic curves in class 327600gh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327600.gh1 | 327600gh1 | \([0, 0, 0, -5268675, 4884673250]\) | \(-693346671296498/40610171875\) | \(-947354089500000000000\) | \([]\) | \(17971200\) | \(2.7810\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327600gh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 327600gh do not have complex multiplication.Modular form 327600.2.a.gh
sage: E.q_eigenform(10)