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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 331240.dc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 331240.dc1 | 331240dc1 | \([0, 0, 0, -3411772, -2498841436]\) | \(-30211716096/1071875\) | \(-155823322760050400000\) | \([]\) | \(23639040\) | \(2.6469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331240.dc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331240.dc do not have complex multiplication.Modular form 331240.2.a.dc
sage: E.q_eigenform(10)