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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 470106g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
470106.g1 | 470106g1 | \([1, -1, 0, -353691, 79574053]\) | \(57053285789473/1193647104\) | \(102374481952963584\) | \([]\) | \(6881280\) | \(2.0538\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 470106g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 470106g do not have complex multiplication.Modular form 470106.2.a.g
sage: E.q_eigenform(10)