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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 331200i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 331200.i1 | 331200i1 | \([0, 0, 0, 690244800, 3048337996000]\) | \(194879272239195815936/134287459716796875\) | \(-25061262882187500000000000000\) | \([]\) | \(268369920\) | \(4.1379\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331200i do not have complex multiplication.Modular form 331200.2.a.i
sage: E.q_eigenform(10)