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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 302330p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.p1 | 302330p1 | \([1, 1, 0, 1788, 289136]\) | \(5368567751/308500000\) | \(-36294716500000\) | \([]\) | \(898560\) | \(1.2815\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302330p do not have complex multiplication.Modular form 302330.2.a.p
sage: E.q_eigenform(10)