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SageMath
E = EllipticCurve("gp1")
E.isogeny_class()
Elliptic curves in class 110400gp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110400.t1 | 110400gp1 | \([0, -1, 0, -3460833, -1573070463]\) | \(1790712239425/618098688\) | \(1582332641280000000000\) | \([]\) | \(4423680\) | \(2.7695\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110400gp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110400gp do not have complex multiplication.Modular form 110400.2.a.gp
sage: E.q_eigenform(10)