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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 216302a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 216302.f1 | 216302a1 | \([1, 1, 1, -4820, 119289]\) | \(4826809/316\) | \(810769545244\) | \([]\) | \(387072\) | \(1.0349\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216302a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 216302a do not have complex multiplication.Modular form 216302.2.a.a
sage: E.q_eigenform(10)