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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 67760i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67760.l1 | 67760i1 | \([0, -1, 0, 664, 13840]\) | \(130454302/420175\) | \(-104122726400\) | \([]\) | \(46080\) | \(0.79725\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67760i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67760i do not have complex multiplication.Modular form 67760.2.a.i
sage: E.q_eigenform(10)