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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 3696.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3696.w1 | 3696y1 | \([0, 1, 0, 14, -1057]\) | \(17643776/30438639\) | \(-487018224\) | \([]\) | \(1440\) | \(0.34595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3696.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3696.w do not have complex multiplication.Modular form 3696.2.a.w
sage: E.q_eigenform(10)