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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 334620.ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 334620.ba1 | 334620ba1 | \([0, 0, 0, -2101441368, -37078864299308]\) | \(-32540284515090191935873024/207606891528771075\) | \(-6547808420668448054035200\) | \([]\) | \(128286720\) | \(3.9465\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 334620.ba do not have complex multiplication.Modular form 334620.2.a.ba
sage: E.q_eigenform(10)