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SageMath
E = EllipticCurve("ew1")
E.isogeny_class()
Elliptic curves in class 310464.ew
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 310464.ew1 | 310464ew1 | \([0, 0, 0, -85081836, 302146027344]\) | \(-34068278205171/10307264\) | \(-20607603324363963629568\) | \([]\) | \(27095040\) | \(3.2593\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.ew1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310464.ew do not have complex multiplication.Modular form 310464.2.a.ew
sage: E.q_eigenform(10)