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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 301180g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
301180.g1 | 301180g1 | \([0, 1, 0, 7226495, -2730603800]\) | \(742630866944/487179275\) | \(-27379315101018058996400\) | \([]\) | \(16559424\) | \(2.9942\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301180g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 301180g do not have complex multiplication.Modular form 301180.2.a.g
sage: E.q_eigenform(10)