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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 215475o
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 215475.s1 | 215475o1 | \([1, 0, 0, 21037, -6180708]\) | \(2307174311/38336139\) | \(-17108101030921875\) | \([]\) | \(1512000\) | \(1.7954\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215475o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215475o do not have complex multiplication.Modular form 215475.2.a.o
sage: E.q_eigenform(10)