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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 235340a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 235340.a1 | 235340a1 | \([0, 0, 0, -551368, -1616335292]\) | \(-9068544/546875\) | \(-1117889532076940000000\) | \([]\) | \(17647056\) | \(2.7186\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235340a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235340a do not have complex multiplication.Modular form 235340.2.a.a
sage: E.q_eigenform(10)