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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 84700g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84700.s1 | 84700g1 | \([0, 0, 0, -605, -6655]\) | \(-34560/7\) | \(-4960370800\) | \([]\) | \(42840\) | \(0.58287\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84700g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84700g do not have complex multiplication.Modular form 84700.2.a.g
sage: E.q_eigenform(10)