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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 100016g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100016.o1 | 100016g1 | \([0, 0, 0, -34, 299]\) | \(-271669248/2256611\) | \(-36105776\) | \([]\) | \(46080\) | \(0.13289\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100016g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100016g do not have complex multiplication.Modular form 100016.2.a.g
sage: E.q_eigenform(10)