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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 15030p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15030.n1 | 15030p1 | \([1, -1, 1, -347, 30219]\) | \(-6321363049/534400000\) | \(-389577600000\) | \([]\) | \(24000\) | \(0.90366\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15030p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15030p do not have complex multiplication.Modular form 15030.2.a.p
sage: E.q_eigenform(10)