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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 74529.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74529.g1 | 74529o1 | \([1, -1, 1, -423884, 57966094]\) | \(2457\) | \(3428140926314458809\) | \([]\) | \(1009008\) | \(2.2543\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74529.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 74529.g do not have complex multiplication.Modular form 74529.2.a.g
sage: E.q_eigenform(10)