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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 235340.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235340.j1 | 235340j1 | \([0, 0, 0, -328, -23452]\) | \(-9068544/546875\) | \(-235340000000\) | \([]\) | \(430416\) | \(0.86185\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235340.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235340.j do not have complex multiplication.Modular form 235340.2.a.j
sage: E.q_eigenform(10)