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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 129430g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129430.d1 | 129430g1 | \([1, 1, 0, -25193, 4607557]\) | \(-956430453965281/4429211904320\) | \(-8189612811087680\) | \([]\) | \(822528\) | \(1.7382\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129430g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129430g do not have complex multiplication.Modular form 129430.2.a.g
sage: E.q_eigenform(10)