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SageMath
E = EllipticCurve("gc1")
E.isogeny_class()
Elliptic curves in class 277200.gc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277200.gc1 | 277200gc1 | \([0, 0, 0, -3005775, 2005934625]\) | \(-610325920583424/55240493\) | \(-271824655929750000\) | \([]\) | \(4976640\) | \(2.3848\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277200.gc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 277200.gc do not have complex multiplication.Modular form 277200.2.a.gc
sage: E.q_eigenform(10)