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SageMath
E = EllipticCurve("gu1")
E.isogeny_class()
Elliptic curves in class 216384gu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216384.iz1 | 216384gu1 | \([0, 1, 0, -18881, 1159017]\) | \(-98867482624/20696067\) | \(-155831781534912\) | \([]\) | \(1152000\) | \(1.4450\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384gu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 216384gu do not have complex multiplication.Modular form 216384.2.a.gu
sage: E.q_eigenform(10)