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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 274890p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
274890.p1 | 274890p1 | \([1, 1, 0, -20970898, -39147994892]\) | \(-176925531140253328489/12407965057540800\) | \(-71529449371676261380800\) | \([]\) | \(31836672\) | \(3.1359\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 274890p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 274890p do not have complex multiplication.Modular form 274890.2.a.p
sage: E.q_eigenform(10)