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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 301665.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
301665.w1 | 301665w1 | \([0, -1, 1, -5971, 264552]\) | \(-4878401536/3346875\) | \(-16154726371875\) | \([]\) | \(538560\) | \(1.2348\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301665.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 301665.w do not have complex multiplication.Modular form 301665.2.a.w
sage: E.q_eigenform(10)