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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 372810j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.j1 | 372810j1 | \([1, 1, 0, -323888808, 2261134216512]\) | \(-31686279256474606457/290250000000000\) | \(-34420131153254250000000000\) | \([]\) | \(195840000\) | \(3.7226\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810j do not have complex multiplication.Modular form 372810.2.a.j
sage: E.q_eigenform(10)