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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 86394p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86394.s1 | 86394p1 | \([1, 1, 0, -9803, -545475]\) | \(-7117036608649/4529707392\) | \(-66319445926272\) | \([]\) | \(516096\) | \(1.3535\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86394p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86394p do not have complex multiplication.Modular form 86394.2.a.p
sage: E.q_eigenform(10)