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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 30926.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30926.g1 | 30926m1 | \([1, -1, 1, -39072, -2984877]\) | \(-611960049/5264\) | \(-56741789491856\) | \([]\) | \(211968\) | \(1.4642\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30926.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30926.g do not have complex multiplication.Modular form 30926.2.a.g
sage: E.q_eigenform(10)