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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 425880.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
425880.p1 | 425880p1 | \([0, 0, 0, -85683, -11938498]\) | \(-114244/35\) | \(-21312890210626560\) | \([]\) | \(2096640\) | \(1.8469\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 425880.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 425880.p do not have complex multiplication.Modular form 425880.2.a.p
sage: E.q_eigenform(10)