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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 382200p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
382200.p1 | 382200p1 | \([0, -1, 0, -710208, -230343588]\) | \(-80850912100/85293\) | \(-41793570000000000\) | \([]\) | \(4331520\) | \(2.1063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 382200p do not have complex multiplication.Modular form 382200.2.a.p
sage: E.q_eigenform(10)