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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 271950.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.w1 | 271950w1 | \([1, 1, 0, -15950, -718500]\) | \(9765625/888\) | \(40809496875000\) | \([]\) | \(777600\) | \(1.3510\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 271950.w do not have complex multiplication.Modular form 271950.2.a.w
sage: E.q_eigenform(10)