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SageMath
E = EllipticCurve("cm1")
E.isogeny_class()
Elliptic curves in class 88935cm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88935.h1 | 88935cm1 | \([0, 1, 1, 49173150, 131263165226]\) | \(63090423356788736/72214645051395\) | \(-15051148198894071629674155\) | \([]\) | \(25159680\) | \(3.5175\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935cm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88935cm do not have complex multiplication.Modular form 88935.2.a.cm
sage: E.q_eigenform(10)