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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 50008.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
50008.g1 | 50008c1 | \([0, 1, 0, -35, -94]\) | \(-304900096/6251\) | \(-100016\) | \([]\) | \(3840\) | \(-0.24896\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50008.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 50008.g do not have complex multiplication.Modular form 50008.2.a.g
sage: E.q_eigenform(10)