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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 435120o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435120.o1 | 435120o1 | \([0, -1, 0, 60109264, -56106752064]\) | \(145313387766490553/92315092500000\) | \(-15258611560094300160000000\) | \([]\) | \(94832640\) | \(3.5213\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435120o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435120o do not have complex multiplication.Modular form 435120.2.a.o
sage: E.q_eigenform(10)