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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 7595.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7595.j1 | 7595f1 | \([0, 0, 1, -1664383, 1442484699]\) | \(-4334063657515831296/5132293701171875\) | \(-603809221649169921875\) | \([]\) | \(626688\) | \(2.6814\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7595.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7595.j do not have complex multiplication.Modular form 7595.2.a.j
sage: E.q_eigenform(10)