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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 327990a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 327990.a1 | 327990a1 | \([1, 1, 0, -51318, -15872172]\) | \(-29878729/199680\) | \(-99889203740052480\) | \([]\) | \(3201600\) | \(1.9453\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 327990a do not have complex multiplication.Modular form 327990.2.a.a
sage: E.q_eigenform(10)