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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 99705e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 99705.a1 | 99705e1 | \([0, -1, 1, -28996, 2169702]\) | \(-111701610496/18862875\) | \(-455303946850875\) | \([]\) | \(992256\) | \(1.5394\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 99705e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 99705e do not have complex multiplication.Modular form 99705.2.a.e
sage: E.q_eigenform(10)