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SageMath
E = EllipticCurve("hw1")
E.isogeny_class()
Elliptic curves in class 88200.hw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.hw1 | 88200c1 | \([0, 0, 0, -33075, 2976750]\) | \(-2646\) | \(-1512284256000000\) | \([]\) | \(403200\) | \(1.6225\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.hw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200.hw do not have complex multiplication.Modular form 88200.2.a.hw
sage: E.q_eigenform(10)