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SageMath
E = EllipticCurve("gf1")
E.isogeny_class()
Elliptic curves in class 264600gf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 264600.gf1 | 264600gf1 | \([0, 0, 0, 25725, 1800750]\) | \(756\) | \(-2490394032000000\) | \([]\) | \(1032192\) | \(1.6401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 264600gf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 264600gf do not have complex multiplication.Modular form 264600.2.a.gf
sage: E.q_eigenform(10)