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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 120592.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
120592.g1 | 120592h1 | \([0, 0, 0, -37, -85]\) | \(350113536/7537\) | \(120592\) | \([]\) | \(55392\) | \(-0.23624\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 120592.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 120592.g do not have complex multiplication.Modular form 120592.2.a.g
sage: E.q_eigenform(10)