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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 98315.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98315.j1 | 98315h1 | \([0, 1, 1, -2630160, 1745476681]\) | \(-11505664/875\) | \(-153026536569823917875\) | \([]\) | \(3983904\) | \(2.6212\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98315.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 98315.j do not have complex multiplication.Modular form 98315.2.a.j
sage: E.q_eigenform(10)