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SageMath
E = EllipticCurve("di1")
E.isogeny_class()
Elliptic curves in class 155526di
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 155526.q1 | 155526di1 | \([1, 1, 0, -298631, -153661563]\) | \(-3451273/9936\) | \(-8479356973210532304\) | \([]\) | \(4257792\) | \(2.3191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526di1 has rank \(0\).
Complex multiplication
The elliptic curves in class 155526di do not have complex multiplication.Modular form 155526.2.a.di
sage: E.q_eigenform(10)