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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 35520r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35520.w1 | 35520r1 | \([0, -1, 0, -5, -225]\) | \(-262144/346875\) | \(-22200000\) | \([]\) | \(8640\) | \(0.088629\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35520r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35520r do not have complex multiplication.Modular form 35520.2.a.r
sage: E.q_eigenform(10)