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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 19950e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 19950.i1 | 19950e1 | \([1, 1, 0, -205817825, -2636988172875]\) | \(-98735339854432038328225/250451215107692352768\) | \(-2445812647536058132500000000\) | \([]\) | \(10483200\) | \(3.9431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19950e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19950e do not have complex multiplication.Modular form 19950.2.a.e
sage: E.q_eigenform(10)