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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 92400di
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 92400.m1 | 92400di1 | \([0, -1, 0, 342, -132813]\) | \(17643776/30438639\) | \(-7609659750000\) | \([]\) | \(201600\) | \(1.1507\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92400di do not have complex multiplication.Modular form 92400.2.a.di
sage: E.q_eigenform(10)