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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 77924.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77924.i1 | 77924e1 | \([0, -1, 0, 202, 8461]\) | \(32000/1127\) | \(-31944787952\) | \([]\) | \(33600\) | \(0.69554\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77924.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77924.i do not have complex multiplication.Modular form 77924.2.a.i
sage: E.q_eigenform(10)