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SageMath
E = EllipticCurve("gi1")
E.isogeny_class()
Elliptic curves in class 235950.gi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235950.gi1 | 235950gi1 | \([1, 1, 1, 4168662, -1633392969]\) | \(385226073849504061/278469750000000\) | \(-5791300582031250000000\) | \([]\) | \(15966720\) | \(2.8643\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235950.gi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235950.gi do not have complex multiplication.Modular form 235950.2.a.gi
sage: E.q_eigenform(10)