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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 64974b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 64974.k1 | 64974b1 | \([1, 1, 0, -23692, -1468592]\) | \(-612583599798121/28351704576\) | \(-68072442686976\) | \([]\) | \(274320\) | \(1.4178\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64974b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64974b do not have complex multiplication.Modular form 64974.2.a.b
sage: E.q_eigenform(10)