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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 215950i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215950.bb1 | 215950i1 | \([1, 1, 1, -1805313, 5850961031]\) | \(-41644843049165718601/922637939453125000\) | \(-14416217803955078125000\) | \([]\) | \(17791488\) | \(2.9327\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215950i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215950i do not have complex multiplication.Modular form 215950.2.a.i
sage: E.q_eigenform(10)