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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 6630.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6630.w1 | 6630v1 | \([1, 0, 0, -241, 1481]\) | \(-1548415333009/77332320\) | \(-77332320\) | \([]\) | \(2240\) | \(0.27467\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6630.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6630.w do not have complex multiplication.Modular form 6630.2.a.w
sage: E.q_eigenform(10)