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SageMath
E = EllipticCurve("hw1")
E.isogeny_class()
Elliptic curves in class 379050.hw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.hw1 | 379050hw1 | \([1, 0, 0, -55711513, -145459526983]\) | \(576500549021/58084992\) | \(1926738522203087250000000\) | \([]\) | \(91929600\) | \(3.3959\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.hw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.hw do not have complex multiplication.Modular form 379050.2.a.hw
sage: E.q_eigenform(10)