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SageMath
E = EllipticCurve("iv1")
E.isogeny_class()
Elliptic curves in class 187200iv
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 187200.dd1 | 187200iv1 | \([0, 0, 0, -54552000, 157715300000]\) | \(-769623354048512/15247889631\) | \(-355702769311968000000000\) | \([]\) | \(21504000\) | \(3.3119\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200iv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200iv do not have complex multiplication.Modular form 187200.2.a.iv
sage: E.q_eigenform(10)