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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 13475.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13475.w1 | 13475w1 | \([0, 0, 1, -6125, 160781]\) | \(552960/77\) | \(3538661328125\) | \([]\) | \(28800\) | \(1.1343\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13475.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13475.w do not have complex multiplication.Modular form 13475.2.a.w
sage: E.q_eigenform(10)