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SageMath
E = EllipticCurve("el1")
E.isogeny_class()
Elliptic curves in class 136710el
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 136710.d1 | 136710el1 | \([1, -1, 0, -10165500, 12542433336]\) | \(-1354547383894636849/8173828125000\) | \(-701037532001953125000\) | \([]\) | \(12355200\) | \(2.8395\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 136710el1 has rank \(0\).
Complex multiplication
The elliptic curves in class 136710el do not have complex multiplication.Modular form 136710.2.a.el
sage: E.q_eigenform(10)