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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 40310r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.s1 | 40310r1 | \([1, 1, 1, -2936731, -1938289431]\) | \(-2801020093481184227473969/16510976000000\) | \(-16510976000000\) | \([]\) | \(670464\) | \(2.1458\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40310r do not have complex multiplication.Modular form 40310.2.a.r
sage: E.q_eigenform(10)