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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 348726.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.g1 | 348726g1 | \([1, 1, 0, -74734, 12628852]\) | \(-2718057673/2503872\) | \(-42524667958594752\) | \([]\) | \(4760640\) | \(1.8874\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 348726.g do not have complex multiplication.Modular form 348726.2.a.g
sage: E.q_eigenform(10)