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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 270480.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270480.r1 | 270480r1 | \([0, -1, 0, -26335136, 52026516711]\) | \(2576406358941433989918976/30073515458625\) | \(23577636119562000\) | \([]\) | \(9918720\) | \(2.7076\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270480.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 270480.r do not have complex multiplication.Modular form 270480.2.a.r
sage: E.q_eigenform(10)