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SageMath
E = EllipticCurve("in1")
E.isogeny_class()
Elliptic curves in class 379050.in
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 379050.in1 | 379050in1 | \([1, 0, 0, -1772939588, -55141568230458]\) | \(-109264302241400105173004689/169637740417250683593750\) | \(-956862879541054637145996093750\) | \([]\) | \(793774080\) | \(4.4442\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.in1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.in do not have complex multiplication.Modular form 379050.2.a.in
sage: E.q_eigenform(10)