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SageMath
E = EllipticCurve("gc1")
E.isogeny_class()
Elliptic curves in class 264600.gc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
264600.gc1 | 264600gc1 | \([0, 0, 0, 525, -5250]\) | \(756\) | \(-21168000000\) | \([]\) | \(147456\) | \(0.66715\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 264600.gc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 264600.gc do not have complex multiplication.Modular form 264600.2.a.gc
sage: E.q_eigenform(10)